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Finding the Fourth Proportional to 6,934.28, 9,565.98 and 4,280.72

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Solution

The fourth proportional to 6,934.28, 9,565.98 and 4,280.72 is: 5,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.28 : 9,565.98 = 4,280.72 : x
  2. Step 2: Convert to fraction form
    6,934.28/9,565.98 = 4,280.72/x
  3. Step 3: Cross multiply
    6,934.28x = 9,565.98 × 4,280.72
  4. Step 4: Simplify right side
    6,934.28x = 40,949,281.91
  5. Step 5: Solve for x
    x = 40,949,281.91/6,934.28
  6. Step 6: Final answer
    x = 5,905.34

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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.