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Finding the Fourth Proportional to 9,877.53, 13,616.85 and 8,177.07

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Solution

The fourth proportional to 9,877.53, 13,616.85 and 8,177.07 is: 11,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.53 : 13,616.85 = 8,177.07 : x
  2. Step 2: Convert to fraction form
    9,877.53/13,616.85 = 8,177.07/x
  3. Step 3: Cross multiply
    9,877.53x = 13,616.85 × 8,177.07
  4. Step 4: Simplify right side
    9,877.53x = 111,345,935.63
  5. Step 5: Solve for x
    x = 111,345,935.63/9,877.53
  6. Step 6: Final answer
    x = 11,272.65

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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.