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Finding the Fourth Proportional to 9,841.53, 14,752.56 and 4,578.15

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Solution

The fourth proportional to 9,841.53, 14,752.56 and 4,578.15 is: 6,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.53 : 14,752.56 = 4,578.15 : x
  2. Step 2: Convert to fraction form
    9,841.53/14,752.56 = 4,578.15/x
  3. Step 3: Cross multiply
    9,841.53x = 14,752.56 × 4,578.15
  4. Step 4: Simplify right side
    9,841.53x = 67,539,432.56
  5. Step 5: Solve for x
    x = 67,539,432.56/9,841.53
  6. Step 6: Final answer
    x = 6,862.70

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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.