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Finding the Fourth Proportional to 6,931.52, 9,565.86 and 4,100.54

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Solution

The fourth proportional to 6,931.52, 9,565.86 and 4,100.54 is: 5,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.52 : 9,565.86 = 4,100.54 : x
  2. Step 2: Convert to fraction form
    6,931.52/9,565.86 = 4,100.54/x
  3. Step 3: Cross multiply
    6,931.52x = 9,565.86 × 4,100.54
  4. Step 4: Simplify right side
    6,931.52x = 39,225,143.74
  5. Step 5: Solve for x
    x = 39,225,143.74/6,931.52
  6. Step 6: Final answer
    x = 5,658.96

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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.