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Finding the Fourth Proportional to 9,293.84, 12,825.02 and 5,517.16

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Solution

The fourth proportional to 9,293.84, 12,825.02 and 5,517.16 is: 7,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.84 : 12,825.02 = 5,517.16 : x
  2. Step 2: Convert to fraction form
    9,293.84/12,825.02 = 5,517.16/x
  3. Step 3: Cross multiply
    9,293.84x = 12,825.02 × 5,517.16
  4. Step 4: Simplify right side
    9,293.84x = 70,757,687.34
  5. Step 5: Solve for x
    x = 70,757,687.34/9,293.84
  6. Step 6: Final answer
    x = 7,613.40

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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.