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Finding the Fourth Proportional to 9,905.15, 14,847.73 and 6,209.98

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Solution

The fourth proportional to 9,905.15, 14,847.73 and 6,209.98 is: 9,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.15 : 14,847.73 = 6,209.98 : x
  2. Step 2: Convert to fraction form
    9,905.15/14,847.73 = 6,209.98/x
  3. Step 3: Cross multiply
    9,905.15x = 14,847.73 × 6,209.98
  4. Step 4: Simplify right side
    9,905.15x = 92,204,032.11
  5. Step 5: Solve for x
    x = 92,204,032.11/9,905.15
  6. Step 6: Final answer
    x = 9,308.70

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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.