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Finding the Fourth Proportional to 9,488.28, 14,234.04 and 4,225.20

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Solution

The fourth proportional to 9,488.28, 14,234.04 and 4,225.20 is: 6,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.28 : 14,234.04 = 4,225.20 : x
  2. Step 2: Convert to fraction form
    9,488.28/14,234.04 = 4,225.20/x
  3. Step 3: Cross multiply
    9,488.28x = 14,234.04 × 4,225.20
  4. Step 4: Simplify right side
    9,488.28x = 60,141,665.81
  5. Step 5: Solve for x
    x = 60,141,665.81/9,488.28
  6. Step 6: Final answer
    x = 6,338.52

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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.