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Finding the Fourth Proportional to 9,841.28, 14,761.92 and 4,647.68

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Solution

The fourth proportional to 9,841.28, 14,761.92 and 4,647.68 is: 6,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.28 : 14,761.92 = 4,647.68 : x
  2. Step 2: Convert to fraction form
    9,841.28/14,761.92 = 4,647.68/x
  3. Step 3: Cross multiply
    9,841.28x = 14,761.92 × 4,647.68
  4. Step 4: Simplify right side
    9,841.28x = 68,608,680.35
  5. Step 5: Solve for x
    x = 68,608,680.35/9,841.28
  6. Step 6: Final answer
    x = 6,971.52

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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.