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Finding the Fourth Proportional to 9,437.71, 14,158.65 and 3,197.20

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Solution

The fourth proportional to 9,437.71, 14,158.65 and 3,197.20 is: 4,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.71 : 14,158.65 = 3,197.20 : x
  2. Step 2: Convert to fraction form
    9,437.71/14,158.65 = 3,197.20/x
  3. Step 3: Cross multiply
    9,437.71x = 14,158.65 × 3,197.20
  4. Step 4: Simplify right side
    9,437.71x = 45,268,035.78
  5. Step 5: Solve for x
    x = 45,268,035.78/9,437.71
  6. Step 6: Final answer
    x = 4,796.51

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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.