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Finding the Fourth Proportional to 9,797.37, 14,691.56 and 3,132.57

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Solution

The fourth proportional to 9,797.37, 14,691.56 and 3,132.57 is: 4,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.37 : 14,691.56 = 3,132.57 : x
  2. Step 2: Convert to fraction form
    9,797.37/14,691.56 = 3,132.57/x
  3. Step 3: Cross multiply
    9,797.37x = 14,691.56 × 3,132.57
  4. Step 4: Simplify right side
    9,797.37x = 46,022,397.16
  5. Step 5: Solve for x
    x = 46,022,397.16/9,797.37
  6. Step 6: Final answer
    x = 4,697.42

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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.