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Finding the Fourth Proportional to 9,232.70, 12,742.22 and 5,199.66

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Solution

The fourth proportional to 9,232.70, 12,742.22 and 5,199.66 is: 7,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.70 : 12,742.22 = 5,199.66 : x
  2. Step 2: Convert to fraction form
    9,232.70/12,742.22 = 5,199.66/x
  3. Step 3: Cross multiply
    9,232.70x = 12,742.22 × 5,199.66
  4. Step 4: Simplify right side
    9,232.70x = 66,255,211.65
  5. Step 5: Solve for x
    x = 66,255,211.65/9,232.70
  6. Step 6: Final answer
    x = 7,176.15

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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.