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Finding the Fourth Proportional to 9,872.56, 13,624.04 and 5,565.26

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Solution

The fourth proportional to 9,872.56, 13,624.04 and 5,565.26 is: 7,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.56 : 13,624.04 = 5,565.26 : x
  2. Step 2: Convert to fraction form
    9,872.56/13,624.04 = 5,565.26/x
  3. Step 3: Cross multiply
    9,872.56x = 13,624.04 × 5,565.26
  4. Step 4: Simplify right side
    9,872.56x = 75,821,324.85
  5. Step 5: Solve for x
    x = 75,821,324.85/9,872.56
  6. Step 6: Final answer
    x = 7,680.01

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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.