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Finding the Fourth Proportional to 9,873.88, 13,626.42 and 5,397.96

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Solution

The fourth proportional to 9,873.88, 13,626.42 and 5,397.96 is: 7,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.88 : 13,626.42 = 5,397.96 : x
  2. Step 2: Convert to fraction form
    9,873.88/13,626.42 = 5,397.96/x
  3. Step 3: Cross multiply
    9,873.88x = 13,626.42 × 5,397.96
  4. Step 4: Simplify right side
    9,873.88x = 73,554,870.10
  5. Step 5: Solve for x
    x = 73,554,870.10/9,873.88
  6. Step 6: Final answer
    x = 7,449.44

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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.