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Finding the Fourth Proportional to 35,909.46, 53,863.41 and 9,614.19

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Solution

The fourth proportional to 35,909.46, 53,863.41 and 9,614.19 is: 14,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,909.46 : 53,863.41 = 9,614.19 : x
  2. Step 2: Convert to fraction form
    35,909.46/53,863.41 = 9,614.19/x
  3. Step 3: Cross multiply
    35,909.46x = 53,863.41 × 9,614.19
  4. Step 4: Simplify right side
    35,909.46x = 517,853,057.79
  5. Step 5: Solve for x
    x = 517,853,057.79/35,909.46
  6. Step 6: Final answer
    x = 14,421.08

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