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Finding the Fourth Proportional to 6,709.13, 9,258.16 and 3,724.96

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Solution

The fourth proportional to 6,709.13, 9,258.16 and 3,724.96 is: 5,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.13 : 9,258.16 = 3,724.96 : x
  2. Step 2: Convert to fraction form
    6,709.13/9,258.16 = 3,724.96/x
  3. Step 3: Cross multiply
    6,709.13x = 9,258.16 × 3,724.96
  4. Step 4: Simplify right side
    6,709.13x = 34,486,275.67
  5. Step 5: Solve for x
    x = 34,486,275.67/6,709.13
  6. Step 6: Final answer
    x = 5,140.20

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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.