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Finding the Fourth Proportional to 6,702.50, 9,248.41 and 3,831.19

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Solution

The fourth proportional to 6,702.50, 9,248.41 and 3,831.19 is: 5,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.50 : 9,248.41 = 3,831.19 : x
  2. Step 2: Convert to fraction form
    6,702.50/9,248.41 = 3,831.19/x
  3. Step 3: Cross multiply
    6,702.50x = 9,248.41 × 3,831.19
  4. Step 4: Simplify right side
    6,702.50x = 35,432,397.58
  5. Step 5: Solve for x
    x = 35,432,397.58/6,702.50
  6. Step 6: Final answer
    x = 5,286.44

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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.