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Finding the Fourth Proportional to 9,340.92, 14,012.24 and 4,409.20

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Solution

The fourth proportional to 9,340.92, 14,012.24 and 4,409.20 is: 6,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.92 : 14,012.24 = 4,409.20 : x
  2. Step 2: Convert to fraction form
    9,340.92/14,012.24 = 4,409.20/x
  3. Step 3: Cross multiply
    9,340.92x = 14,012.24 × 4,409.20
  4. Step 4: Simplify right side
    9,340.92x = 61,782,768.61
  5. Step 5: Solve for x
    x = 61,782,768.61/9,340.92
  6. Step 6: Final answer
    x = 6,614.21

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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.