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Finding the Fourth Proportional to 9,891.20, 13,645.18 and 6,113.05

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Solution

The fourth proportional to 9,891.20, 13,645.18 and 6,113.05 is: 8,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.20 : 13,645.18 = 6,113.05 : x
  2. Step 2: Convert to fraction form
    9,891.20/13,645.18 = 6,113.05/x
  3. Step 3: Cross multiply
    9,891.20x = 13,645.18 × 6,113.05
  4. Step 4: Simplify right side
    9,891.20x = 83,413,667.60
  5. Step 5: Solve for x
    x = 83,413,667.60/9,891.20
  6. Step 6: Final answer
    x = 8,433.12

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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.