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Finding the Fourth Proportional to 9,553.76, 13,181.49 and 6,196.71

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Solution

The fourth proportional to 9,553.76, 13,181.49 and 6,196.71 is: 8,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.76 : 13,181.49 = 6,196.71 : x
  2. Step 2: Convert to fraction form
    9,553.76/13,181.49 = 6,196.71/x
  3. Step 3: Cross multiply
    9,553.76x = 13,181.49 × 6,196.71
  4. Step 4: Simplify right side
    9,553.76x = 81,681,870.90
  5. Step 5: Solve for x
    x = 81,681,870.90/9,553.76
  6. Step 6: Final answer
    x = 8,549.71

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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.