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Finding the Fourth Proportional to 9,142.68, 12,618.15 and 5,262

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Solution

The fourth proportional to 9,142.68, 12,618.15 and 5,262 is: 7,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.68 : 12,618.15 = 5,262 : x
  2. Step 2: Convert to fraction form
    9,142.68/12,618.15 = 5,262/x
  3. Step 3: Cross multiply
    9,142.68x = 12,618.15 × 5,262
  4. Step 4: Simplify right side
    9,142.68x = 66,396,705.30
  5. Step 5: Solve for x
    x = 66,396,705.30/9,142.68
  6. Step 6: Final answer
    x = 7,262.28

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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.