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Finding the Fourth Proportional to 9,199.32, 13,793.66 and 6,281.16

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Solution

The fourth proportional to 9,199.32, 13,793.66 and 6,281.16 is: 9,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.32 : 13,793.66 = 6,281.16 : x
  2. Step 2: Convert to fraction form
    9,199.32/13,793.66 = 6,281.16/x
  3. Step 3: Cross multiply
    9,199.32x = 13,793.66 × 6,281.16
  4. Step 4: Simplify right side
    9,199.32x = 86,640,185.45
  5. Step 5: Solve for x
    x = 86,640,185.45/9,199.32
  6. Step 6: Final answer
    x = 9,418.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.