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Finding the Fourth Proportional to 6,718.95, 9,275.58 and 4,202.55

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Solution

The fourth proportional to 6,718.95, 9,275.58 and 4,202.55 is: 5,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.95 : 9,275.58 = 4,202.55 : x
  2. Step 2: Convert to fraction form
    6,718.95/9,275.58 = 4,202.55/x
  3. Step 3: Cross multiply
    6,718.95x = 9,275.58 × 4,202.55
  4. Step 4: Simplify right side
    6,718.95x = 38,981,088.73
  5. Step 5: Solve for x
    x = 38,981,088.73/6,718.95
  6. Step 6: Final answer
    x = 5,801.66

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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.