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Finding the Fourth Proportional to 6,772.86, 9,337.59 and 4,882.86

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Solution

The fourth proportional to 6,772.86, 9,337.59 and 4,882.86 is: 6,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.86 : 9,337.59 = 4,882.86 : x
  2. Step 2: Convert to fraction form
    6,772.86/9,337.59 = 4,882.86/x
  3. Step 3: Cross multiply
    6,772.86x = 9,337.59 × 4,882.86
  4. Step 4: Simplify right side
    6,772.86x = 45,594,144.71
  5. Step 5: Solve for x
    x = 45,594,144.71/6,772.86
  6. Step 6: Final answer
    x = 6,731.89

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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.