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Finding the Fourth Proportional to 9,466.29, 13,063.48 and 5,489.71

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Solution

The fourth proportional to 9,466.29, 13,063.48 and 5,489.71 is: 7,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.29 : 13,063.48 = 5,489.71 : x
  2. Step 2: Convert to fraction form
    9,466.29/13,063.48 = 5,489.71/x
  3. Step 3: Cross multiply
    9,466.29x = 13,063.48 × 5,489.71
  4. Step 4: Simplify right side
    9,466.29x = 71,714,624.02
  5. Step 5: Solve for x
    x = 71,714,624.02/9,466.29
  6. Step 6: Final answer
    x = 7,575.79

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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.