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Finding the Fourth Proportional to 9,480.72, 13,077.48 and 6,823.92

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Solution

The fourth proportional to 9,480.72, 13,077.48 and 6,823.92 is: 9,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.72 : 13,077.48 = 6,823.92 : x
  2. Step 2: Convert to fraction form
    9,480.72/13,077.48 = 6,823.92/x
  3. Step 3: Cross multiply
    9,480.72x = 13,077.48 × 6,823.92
  4. Step 4: Simplify right side
    9,480.72x = 89,239,677.32
  5. Step 5: Solve for x
    x = 89,239,677.32/9,480.72
  6. Step 6: Final answer
    x = 9,412.75

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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.