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Finding the Fourth Proportional to 9,294.50, 12,827.08 and 5,315.52

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Solution

The fourth proportional to 9,294.50, 12,827.08 and 5,315.52 is: 7,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.50 : 12,827.08 = 5,315.52 : x
  2. Step 2: Convert to fraction form
    9,294.50/12,827.08 = 5,315.52/x
  3. Step 3: Cross multiply
    9,294.50x = 12,827.08 × 5,315.52
  4. Step 4: Simplify right side
    9,294.50x = 68,182,600.28
  5. Step 5: Solve for x
    x = 68,182,600.28/9,294.50
  6. Step 6: Final answer
    x = 7,335.80

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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.