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Finding the Fourth Proportional to 9,616.89, 13,271.31 and 5,425.14

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Solution

The fourth proportional to 9,616.89, 13,271.31 and 5,425.14 is: 7,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.89 : 13,271.31 = 5,425.14 : x
  2. Step 2: Convert to fraction form
    9,616.89/13,271.31 = 5,425.14/x
  3. Step 3: Cross multiply
    9,616.89x = 13,271.31 × 5,425.14
  4. Step 4: Simplify right side
    9,616.89x = 71,998,714.73
  5. Step 5: Solve for x
    x = 71,998,714.73/9,616.89
  6. Step 6: Final answer
    x = 7,486.69

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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.