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Finding the Fourth Proportional to 9,772.60, 14,657.37 and 2,753.14

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Solution

The fourth proportional to 9,772.60, 14,657.37 and 2,753.14 is: 4,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.60 : 14,657.37 = 2,753.14 : x
  2. Step 2: Convert to fraction form
    9,772.60/14,657.37 = 2,753.14/x
  3. Step 3: Cross multiply
    9,772.60x = 14,657.37 × 2,753.14
  4. Step 4: Simplify right side
    9,772.60x = 40,353,791.64
  5. Step 5: Solve for x
    x = 40,353,791.64/9,772.60
  6. Step 6: Final answer
    x = 4,129.28

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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.