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Finding the Fourth Proportional to 6,306.40, 9,454.56 and 2,610.46

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Solution

The fourth proportional to 6,306.40, 9,454.56 and 2,610.46 is: 3,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.40 : 9,454.56 = 2,610.46 : x
  2. Step 2: Convert to fraction form
    6,306.40/9,454.56 = 2,610.46/x
  3. Step 3: Cross multiply
    6,306.40x = 9,454.56 × 2,610.46
  4. Step 4: Simplify right side
    6,306.40x = 24,680,750.70
  5. Step 5: Solve for x
    x = 24,680,750.70/6,306.40
  6. Step 6: Final answer
    x = 3,913.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.