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Finding the Fourth Proportional to 9,297.46, 13,966.17 and 5,837.14

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Solution

The fourth proportional to 9,297.46, 13,966.17 and 5,837.14 is: 8,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.46 : 13,966.17 = 5,837.14 : x
  2. Step 2: Convert to fraction form
    9,297.46/13,966.17 = 5,837.14/x
  3. Step 3: Cross multiply
    9,297.46x = 13,966.17 × 5,837.14
  4. Step 4: Simplify right side
    9,297.46x = 81,522,489.55
  5. Step 5: Solve for x
    x = 81,522,489.55/9,297.46
  6. Step 6: Final answer
    x = 8,768.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.