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Finding the Fourth Proportional to 9,614.97, 14,423.13 and 3,041.28

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Solution

The fourth proportional to 9,614.97, 14,423.13 and 3,041.28 is: 4,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.97 : 14,423.13 = 3,041.28 : x
  2. Step 2: Convert to fraction form
    9,614.97/14,423.13 = 3,041.28/x
  3. Step 3: Cross multiply
    9,614.97x = 14,423.13 × 3,041.28
  4. Step 4: Simplify right side
    9,614.97x = 43,864,776.81
  5. Step 5: Solve for x
    x = 43,864,776.81/9,614.97
  6. Step 6: Final answer
    x = 4,562.13

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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.