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Finding the Fourth Proportional to 6,332.31, 9,499.07 and 1,652.40

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Solution

The fourth proportional to 6,332.31, 9,499.07 and 1,652.40 is: 2,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.31 : 9,499.07 = 1,652.40 : x
  2. Step 2: Convert to fraction form
    6,332.31/9,499.07 = 1,652.40/x
  3. Step 3: Cross multiply
    6,332.31x = 9,499.07 × 1,652.40
  4. Step 4: Simplify right side
    6,332.31x = 15,696,267.40
  5. Step 5: Solve for x
    x = 15,696,267.40/6,332.31
  6. Step 6: Final answer
    x = 2,478.76

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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.