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Finding the Fourth Proportional to 9,294.08, 12,821.52 and 5,935.18

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Solution

The fourth proportional to 9,294.08, 12,821.52 and 5,935.18 is: 8,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.08 : 12,821.52 = 5,935.18 : x
  2. Step 2: Convert to fraction form
    9,294.08/12,821.52 = 5,935.18/x
  3. Step 3: Cross multiply
    9,294.08x = 12,821.52 × 5,935.18
  4. Step 4: Simplify right side
    9,294.08x = 76,098,029.07
  5. Step 5: Solve for x
    x = 76,098,029.07/9,294.08
  6. Step 6: Final answer
    x = 8,187.80

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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.