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Finding the Fourth Proportional to 9,847.64, 14,773.65 and 3,607.52

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Solution

The fourth proportional to 9,847.64, 14,773.65 and 3,607.52 is: 5,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.64 : 14,773.65 = 3,607.52 : x
  2. Step 2: Convert to fraction form
    9,847.64/14,773.65 = 3,607.52/x
  3. Step 3: Cross multiply
    9,847.64x = 14,773.65 × 3,607.52
  4. Step 4: Simplify right side
    9,847.64x = 53,296,163.98
  5. Step 5: Solve for x
    x = 53,296,163.98/9,847.64
  6. Step 6: Final answer
    x = 5,412.08

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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.