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Finding the Fourth Proportional to 9,411.92, 14,118.72 and 3,865.60

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Solution

The fourth proportional to 9,411.92, 14,118.72 and 3,865.60 is: 5,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.92 : 14,118.72 = 3,865.60 : x
  2. Step 2: Convert to fraction form
    9,411.92/14,118.72 = 3,865.60/x
  3. Step 3: Cross multiply
    9,411.92x = 14,118.72 × 3,865.60
  4. Step 4: Simplify right side
    9,411.92x = 54,577,324.03
  5. Step 5: Solve for x
    x = 54,577,324.03/9,411.92
  6. Step 6: Final answer
    x = 5,798.74

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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.