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Finding the Fourth Proportional to 9,624.48, 13,282.04 and 5,797.20

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Solution

The fourth proportional to 9,624.48, 13,282.04 and 5,797.20 is: 8,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.48 : 13,282.04 = 5,797.20 : x
  2. Step 2: Convert to fraction form
    9,624.48/13,282.04 = 5,797.20/x
  3. Step 3: Cross multiply
    9,624.48x = 13,282.04 × 5,797.20
  4. Step 4: Simplify right side
    9,624.48x = 76,998,642.29
  5. Step 5: Solve for x
    x = 76,998,642.29/9,624.48
  6. Step 6: Final answer
    x = 8,000.29

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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.