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Finding the Fourth Proportional to 6,339.34, 8,747.70 and 3,686.71

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Solution

The fourth proportional to 6,339.34, 8,747.70 and 3,686.71 is: 5,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.34 : 8,747.70 = 3,686.71 : x
  2. Step 2: Convert to fraction form
    6,339.34/8,747.70 = 3,686.71/x
  3. Step 3: Cross multiply
    6,339.34x = 8,747.70 × 3,686.71
  4. Step 4: Simplify right side
    6,339.34x = 32,250,233.07
  5. Step 5: Solve for x
    x = 32,250,233.07/6,339.34
  6. Step 6: Final answer
    x = 5,087.32

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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.