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Finding the Fourth Proportional to 9,345.28, 12,885.72 and 6,822.88

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Solution

The fourth proportional to 9,345.28, 12,885.72 and 6,822.88 is: 9,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.28 : 12,885.72 = 6,822.88 : x
  2. Step 2: Convert to fraction form
    9,345.28/12,885.72 = 6,822.88/x
  3. Step 3: Cross multiply
    9,345.28x = 12,885.72 × 6,822.88
  4. Step 4: Simplify right side
    9,345.28x = 87,917,721.27
  5. Step 5: Solve for x
    x = 87,917,721.27/9,345.28
  6. Step 6: Final answer
    x = 9,407.71

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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.