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Finding the Fourth Proportional to 6,731.17, 9,288.86 and 3,746.82

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Solution

The fourth proportional to 6,731.17, 9,288.86 and 3,746.82 is: 5,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.17 : 9,288.86 = 3,746.82 : x
  2. Step 2: Convert to fraction form
    6,731.17/9,288.86 = 3,746.82/x
  3. Step 3: Cross multiply
    6,731.17x = 9,288.86 × 3,746.82
  4. Step 4: Simplify right side
    6,731.17x = 34,803,686.43
  5. Step 5: Solve for x
    x = 34,803,686.43/6,731.17
  6. Step 6: Final answer
    x = 5,170.53

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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.