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Finding the Fourth Proportional to 9,049.57, 12,486.06 and 5,461.69

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Solution

The fourth proportional to 9,049.57, 12,486.06 and 5,461.69 is: 7,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.57 : 12,486.06 = 5,461.69 : x
  2. Step 2: Convert to fraction form
    9,049.57/12,486.06 = 5,461.69/x
  3. Step 3: Cross multiply
    9,049.57x = 12,486.06 × 5,461.69
  4. Step 4: Simplify right side
    9,049.57x = 68,195,006.48
  5. Step 5: Solve for x
    x = 68,195,006.48/9,049.57
  6. Step 6: Final answer
    x = 7,535.72

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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.