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Finding the Fourth Proportional to 9,240.10, 12,743.04 and 6,099.46

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Solution

The fourth proportional to 9,240.10, 12,743.04 and 6,099.46 is: 8,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.10 : 12,743.04 = 6,099.46 : x
  2. Step 2: Convert to fraction form
    9,240.10/12,743.04 = 6,099.46/x
  3. Step 3: Cross multiply
    9,240.10x = 12,743.04 × 6,099.46
  4. Step 4: Simplify right side
    9,240.10x = 77,725,662.76
  5. Step 5: Solve for x
    x = 77,725,662.76/9,240.10
  6. Step 6: Final answer
    x = 8,411.78

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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.