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Finding the Fourth Proportional to 6,785.10, 9,336.87 and 6,001.02

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Solution

The fourth proportional to 6,785.10, 9,336.87 and 6,001.02 is: 8,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.10 : 9,336.87 = 6,001.02 : x
  2. Step 2: Convert to fraction form
    6,785.10/9,336.87 = 6,001.02/x
  3. Step 3: Cross multiply
    6,785.10x = 9,336.87 × 6,001.02
  4. Step 4: Simplify right side
    6,785.10x = 56,030,743.61
  5. Step 5: Solve for x
    x = 56,030,743.61/6,785.10
  6. Step 6: Final answer
    x = 8,257.91

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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.