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Finding the Fourth Proportional to 9,282.24, 12,821.76 and 6,920.28

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Solution

The fourth proportional to 9,282.24, 12,821.76 and 6,920.28 is: 9,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.24 : 12,821.76 = 6,920.28 : x
  2. Step 2: Convert to fraction form
    9,282.24/12,821.76 = 6,920.28/x
  3. Step 3: Cross multiply
    9,282.24x = 12,821.76 × 6,920.28
  4. Step 4: Simplify right side
    9,282.24x = 88,730,169.29
  5. Step 5: Solve for x
    x = 88,730,169.29/9,282.24
  6. Step 6: Final answer
    x = 9,559.13

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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.