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Finding the Fourth Proportional to 9,952.08, 13,731.14 and 6,173.44

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Solution

The fourth proportional to 9,952.08, 13,731.14 and 6,173.44 is: 8,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.08 : 13,731.14 = 6,173.44 : x
  2. Step 2: Convert to fraction form
    9,952.08/13,731.14 = 6,173.44/x
  3. Step 3: Cross multiply
    9,952.08x = 13,731.14 × 6,173.44
  4. Step 4: Simplify right side
    9,952.08x = 84,768,368.92
  5. Step 5: Solve for x
    x = 84,768,368.92/9,952.08
  6. Step 6: Final answer
    x = 8,517.65

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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.