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Finding the Fourth Proportional to 9,344.16, 14,025.96 and 6,881.76

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Solution

The fourth proportional to 9,344.16, 14,025.96 and 6,881.76 is: 10,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.16 : 14,025.96 = 6,881.76 : x
  2. Step 2: Convert to fraction form
    9,344.16/14,025.96 = 6,881.76/x
  3. Step 3: Cross multiply
    9,344.16x = 14,025.96 × 6,881.76
  4. Step 4: Simplify right side
    9,344.16x = 96,523,290.49
  5. Step 5: Solve for x
    x = 96,523,290.49/9,344.16
  6. Step 6: Final answer
    x = 10,329.80

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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.