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Finding the Fourth Proportional to 6,875.56, 9,488.31 and 3,731.77

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Solution

The fourth proportional to 6,875.56, 9,488.31 and 3,731.77 is: 5,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.56 : 9,488.31 = 3,731.77 : x
  2. Step 2: Convert to fraction form
    6,875.56/9,488.31 = 3,731.77/x
  3. Step 3: Cross multiply
    6,875.56x = 9,488.31 × 3,731.77
  4. Step 4: Simplify right side
    6,875.56x = 35,408,143.17
  5. Step 5: Solve for x
    x = 35,408,143.17/6,875.56
  6. Step 6: Final answer
    x = 5,149.86

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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.