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Finding the Fourth Proportional to 9,342.33, 12,877.14 and 6,824.85

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Solution

The fourth proportional to 9,342.33, 12,877.14 and 6,824.85 is: 9,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.33 : 12,877.14 = 6,824.85 : x
  2. Step 2: Convert to fraction form
    9,342.33/12,877.14 = 6,824.85/x
  3. Step 3: Cross multiply
    9,342.33x = 12,877.14 × 6,824.85
  4. Step 4: Simplify right side
    9,342.33x = 87,884,548.93
  5. Step 5: Solve for x
    x = 87,884,548.93/9,342.33
  6. Step 6: Final answer
    x = 9,407.13

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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.