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Finding the Fourth Proportional to 9,221.32, 12,726.25 and 5,242.42

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Solution

The fourth proportional to 9,221.32, 12,726.25 and 5,242.42 is: 7,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.32 : 12,726.25 = 5,242.42 : x
  2. Step 2: Convert to fraction form
    9,221.32/12,726.25 = 5,242.42/x
  3. Step 3: Cross multiply
    9,221.32x = 12,726.25 × 5,242.42
  4. Step 4: Simplify right side
    9,221.32x = 66,716,362.19
  5. Step 5: Solve for x
    x = 66,716,362.19/9,221.32
  6. Step 6: Final answer
    x = 7,235.02

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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.