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Finding the Fourth Proportional to 6,598.90, 9,106.18 and 3,947.76

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Solution

The fourth proportional to 6,598.90, 9,106.18 and 3,947.76 is: 5,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.90 : 9,106.18 = 3,947.76 : x
  2. Step 2: Convert to fraction form
    6,598.90/9,106.18 = 3,947.76/x
  3. Step 3: Cross multiply
    6,598.90x = 9,106.18 × 3,947.76
  4. Step 4: Simplify right side
    6,598.90x = 35,949,013.16
  5. Step 5: Solve for x
    x = 35,949,013.16/6,598.90
  6. Step 6: Final answer
    x = 5,447.73

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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.