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Finding the Fourth Proportional to 6,634.87, 9,952.32 and 3,711.58

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Solution

The fourth proportional to 6,634.87, 9,952.32 and 3,711.58 is: 5,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.87 : 9,952.32 = 3,711.58 : x
  2. Step 2: Convert to fraction form
    6,634.87/9,952.32 = 3,711.58/x
  3. Step 3: Cross multiply
    6,634.87x = 9,952.32 × 3,711.58
  4. Step 4: Simplify right side
    6,634.87x = 36,938,831.87
  5. Step 5: Solve for x
    x = 36,938,831.87/6,634.87
  6. Step 6: Final answer
    x = 5,567.38

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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.