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Finding the Fourth Proportional to 9,420.92, 14,136.24 and 4,225.76

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Solution

The fourth proportional to 9,420.92, 14,136.24 and 4,225.76 is: 6,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.92 : 14,136.24 = 4,225.76 : x
  2. Step 2: Convert to fraction form
    9,420.92/14,136.24 = 4,225.76/x
  3. Step 3: Cross multiply
    9,420.92x = 14,136.24 × 4,225.76
  4. Step 4: Simplify right side
    9,420.92x = 59,736,357.54
  5. Step 5: Solve for x
    x = 59,736,357.54/9,420.92
  6. Step 6: Final answer
    x = 6,340.82

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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.