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Finding the Fourth Proportional to 9,292.61, 12,826.26 and 5,753.81

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Solution

The fourth proportional to 9,292.61, 12,826.26 and 5,753.81 is: 7,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.61 : 12,826.26 = 5,753.81 : x
  2. Step 2: Convert to fraction form
    9,292.61/12,826.26 = 5,753.81/x
  3. Step 3: Cross multiply
    9,292.61x = 12,826.26 × 5,753.81
  4. Step 4: Simplify right side
    9,292.61x = 73,799,863.05
  5. Step 5: Solve for x
    x = 73,799,863.05/9,292.61
  6. Step 6: Final answer
    x = 7,941.78

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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.