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Finding the Fourth Proportional to 6,890.31, 9,508.86 and 3,746.52

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Solution

The fourth proportional to 6,890.31, 9,508.86 and 3,746.52 is: 5,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.31 : 9,508.86 = 3,746.52 : x
  2. Step 2: Convert to fraction form
    6,890.31/9,508.86 = 3,746.52/x
  3. Step 3: Cross multiply
    6,890.31x = 9,508.86 × 3,746.52
  4. Step 4: Simplify right side
    6,890.31x = 35,625,134.17
  5. Step 5: Solve for x
    x = 35,625,134.17/6,890.31
  6. Step 6: Final answer
    x = 5,170.32

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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.