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Finding the Fourth Proportional to 9,353.97, 14,031 and 2,428.47

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Solution

The fourth proportional to 9,353.97, 14,031 and 2,428.47 is: 3,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.97 : 14,031 = 2,428.47 : x
  2. Step 2: Convert to fraction form
    9,353.97/14,031 = 2,428.47/x
  3. Step 3: Cross multiply
    9,353.97x = 14,031 × 2,428.47
  4. Step 4: Simplify right side
    9,353.97x = 34,073,862.57
  5. Step 5: Solve for x
    x = 34,073,862.57/9,353.97
  6. Step 6: Final answer
    x = 3,642.72

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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.