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Finding the Fourth Proportional to 6,731.08, 9,288.16 and 3,746.68

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Solution

The fourth proportional to 6,731.08, 9,288.16 and 3,746.68 is: 5,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.08 : 9,288.16 = 3,746.68 : x
  2. Step 2: Convert to fraction form
    6,731.08/9,288.16 = 3,746.68/x
  3. Step 3: Cross multiply
    6,731.08x = 9,288.16 × 3,746.68
  4. Step 4: Simplify right side
    6,731.08x = 34,799,763.31
  5. Step 5: Solve for x
    x = 34,799,763.31/6,731.08
  6. Step 6: Final answer
    x = 5,170.01

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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.