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Finding the Fourth Proportional to 9,832.51, 14,673.20 and 8,781.54

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Solution

The fourth proportional to 9,832.51, 14,673.20 and 8,781.54 is: 13,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.51 : 14,673.20 = 8,781.54 : x
  2. Step 2: Convert to fraction form
    9,832.51/14,673.20 = 8,781.54/x
  3. Step 3: Cross multiply
    9,832.51x = 14,673.20 × 8,781.54
  4. Step 4: Simplify right side
    9,832.51x = 128,853,292.73
  5. Step 5: Solve for x
    x = 128,853,292.73/9,832.51
  6. Step 6: Final answer
    x = 13,104.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.