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Finding the Fourth Proportional to 6,465.71, 8,923.52 and 3,948.15

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Solution

The fourth proportional to 6,465.71, 8,923.52 and 3,948.15 is: 5,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.71 : 8,923.52 = 3,948.15 : x
  2. Step 2: Convert to fraction form
    6,465.71/8,923.52 = 3,948.15/x
  3. Step 3: Cross multiply
    6,465.71x = 8,923.52 × 3,948.15
  4. Step 4: Simplify right side
    6,465.71x = 35,231,375.75
  5. Step 5: Solve for x
    x = 35,231,375.75/6,465.71
  6. Step 6: Final answer
    x = 5,448.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.