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Finding the Fourth Proportional to 6,731.12, 9,288.86 and 3,746.88

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Solution

The fourth proportional to 6,731.12, 9,288.86 and 3,746.88 is: 5,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.12 : 9,288.86 = 3,746.88 : x
  2. Step 2: Convert to fraction form
    6,731.12/9,288.86 = 3,746.88/x
  3. Step 3: Cross multiply
    6,731.12x = 9,288.86 × 3,746.88
  4. Step 4: Simplify right side
    6,731.12x = 34,804,225.02
  5. Step 5: Solve for x
    x = 34,804,225.02/6,731.12
  6. Step 6: Final answer
    x = 5,170.65

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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.