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Finding the Fourth Proportional to 9,065.68, 12,513.76 and 5,714.14

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Solution

The fourth proportional to 9,065.68, 12,513.76 and 5,714.14 is: 7,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.68 : 12,513.76 = 5,714.14 : x
  2. Step 2: Convert to fraction form
    9,065.68/12,513.76 = 5,714.14/x
  3. Step 3: Cross multiply
    9,065.68x = 12,513.76 × 5,714.14
  4. Step 4: Simplify right side
    9,065.68x = 71,505,376.57
  5. Step 5: Solve for x
    x = 71,505,376.57/9,065.68
  6. Step 6: Final answer
    x = 7,887.48

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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.