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Finding the Fourth Proportional to 6,865.92, 9,475.08 and 4,032.60

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Solution

The fourth proportional to 6,865.92, 9,475.08 and 4,032.60 is: 5,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.92 : 9,475.08 = 4,032.60 : x
  2. Step 2: Convert to fraction form
    6,865.92/9,475.08 = 4,032.60/x
  3. Step 3: Cross multiply
    6,865.92x = 9,475.08 × 4,032.60
  4. Step 4: Simplify right side
    6,865.92x = 38,209,207.61
  5. Step 5: Solve for x
    x = 38,209,207.61/6,865.92
  6. Step 6: Final answer
    x = 5,565.05

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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.