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Finding the Fourth Proportional to 6,931.08, 9,565.02 and 4,138.20

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Solution

The fourth proportional to 6,931.08, 9,565.02 and 4,138.20 is: 5,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.08 : 9,565.02 = 4,138.20 : x
  2. Step 2: Convert to fraction form
    6,931.08/9,565.02 = 4,138.20/x
  3. Step 3: Cross multiply
    6,931.08x = 9,565.02 × 4,138.20
  4. Step 4: Simplify right side
    6,931.08x = 39,581,965.76
  5. Step 5: Solve for x
    x = 39,581,965.76/6,931.08
  6. Step 6: Final answer
    x = 5,710.79

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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.