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Finding the Fourth Proportional to 9,298.52, 12,827.19 and 5,937.80

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Solution

The fourth proportional to 9,298.52, 12,827.19 and 5,937.80 is: 8,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.52 : 12,827.19 = 5,937.80 : x
  2. Step 2: Convert to fraction form
    9,298.52/12,827.19 = 5,937.80/x
  3. Step 3: Cross multiply
    9,298.52x = 12,827.19 × 5,937.80
  4. Step 4: Simplify right side
    9,298.52x = 76,165,224.65
  5. Step 5: Solve for x
    x = 76,165,224.65/9,298.52
  6. Step 6: Final answer
    x = 8,191.12

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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.