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Finding the Fourth Proportional to 9,222.42, 12,729.65 and 5,245.74

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Solution

The fourth proportional to 9,222.42, 12,729.65 and 5,245.74 is: 7,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.42 : 12,729.65 = 5,245.74 : x
  2. Step 2: Convert to fraction form
    9,222.42/12,729.65 = 5,245.74/x
  3. Step 3: Cross multiply
    9,222.42x = 12,729.65 × 5,245.74
  4. Step 4: Simplify right side
    9,222.42x = 66,776,434.19
  5. Step 5: Solve for x
    x = 66,776,434.19/9,222.42
  6. Step 6: Final answer
    x = 7,240.66

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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.