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Finding the Fourth Proportional to 9,784,847.40, 14,672,022.30 and 4,098,647.40

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Solution

The fourth proportional to 9,784,847.40, 14,672,022.30 and 4,098,647.40 is: 6,145,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784,847.40 : 14,672,022.30 = 4,098,647.40 : x
  2. Step 2: Convert to fraction form
    9,784,847.40/14,672,022.30 = 4,098,647.40/x
  3. Step 3: Cross multiply
    9,784,847.40x = 14,672,022.30 × 4,098,647.40
  4. Step 4: Simplify right side
    9,784,847.40x = 60,135,446,052,637.02
  5. Step 5: Solve for x
    x = 60,135,446,052,637.02/9,784,847.40
  6. Step 6: Final answer
    x = 6,145,772.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.