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Finding the Fourth Proportional to 9,862.38, 14,781.02 and 4,314.24

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Solution

The fourth proportional to 9,862.38, 14,781.02 and 4,314.24 is: 6,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.38 : 14,781.02 = 4,314.24 : x
  2. Step 2: Convert to fraction form
    9,862.38/14,781.02 = 4,314.24/x
  3. Step 3: Cross multiply
    9,862.38x = 14,781.02 × 4,314.24
  4. Step 4: Simplify right side
    9,862.38x = 63,768,846.15
  5. Step 5: Solve for x
    x = 63,768,846.15/9,862.38
  6. Step 6: Final answer
    x = 6,465.87

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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.