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Finding the Fourth Proportional to 9,261.57, 12,780.83 and 5,282.74

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Solution

The fourth proportional to 9,261.57, 12,780.83 and 5,282.74 is: 7,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.57 : 12,780.83 = 5,282.74 : x
  2. Step 2: Convert to fraction form
    9,261.57/12,780.83 = 5,282.74/x
  3. Step 3: Cross multiply
    9,261.57x = 12,780.83 × 5,282.74
  4. Step 4: Simplify right side
    9,261.57x = 67,517,775.46
  5. Step 5: Solve for x
    x = 67,517,775.46/9,261.57
  6. Step 6: Final answer
    x = 7,290.10

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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.