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Finding the Fourth Proportional to 9,742.16, 14,608.92 and 6,044.24

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Solution

The fourth proportional to 9,742.16, 14,608.92 and 6,044.24 is: 9,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.16 : 14,608.92 = 6,044.24 : x
  2. Step 2: Convert to fraction form
    9,742.16/14,608.92 = 6,044.24/x
  3. Step 3: Cross multiply
    9,742.16x = 14,608.92 × 6,044.24
  4. Step 4: Simplify right side
    9,742.16x = 88,299,818.62
  5. Step 5: Solve for x
    x = 88,299,818.62/9,742.16
  6. Step 6: Final answer
    x = 9,063.68

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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.