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Finding the Fourth Proportional to 9,962.16, 14,938.14 and 5,578.44

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Solution

The fourth proportional to 9,962.16, 14,938.14 and 5,578.44 is: 8,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.16 : 14,938.14 = 5,578.44 : x
  2. Step 2: Convert to fraction form
    9,962.16/14,938.14 = 5,578.44/x
  3. Step 3: Cross multiply
    9,962.16x = 14,938.14 × 5,578.44
  4. Step 4: Simplify right side
    9,962.16x = 83,331,517.70
  5. Step 5: Solve for x
    x = 83,331,517.70/9,962.16
  6. Step 6: Final answer
    x = 8,364.80

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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.