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Finding the Fourth Proportional to 9,876.12, 13,627.74 and 6,344.10

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Solution

The fourth proportional to 9,876.12, 13,627.74 and 6,344.10 is: 8,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.12 : 13,627.74 = 6,344.10 : x
  2. Step 2: Convert to fraction form
    9,876.12/13,627.74 = 6,344.10/x
  3. Step 3: Cross multiply
    9,876.12x = 13,627.74 × 6,344.10
  4. Step 4: Simplify right side
    9,876.12x = 86,455,745.33
  5. Step 5: Solve for x
    x = 86,455,745.33/9,876.12
  6. Step 6: Final answer
    x = 8,754.02

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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.