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Finding the Fourth Proportional to 9,223.31, 12,726.58 and 5,189.58

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Solution

The fourth proportional to 9,223.31, 12,726.58 and 5,189.58 is: 7,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.31 : 12,726.58 = 5,189.58 : x
  2. Step 2: Convert to fraction form
    9,223.31/12,726.58 = 5,189.58/x
  3. Step 3: Cross multiply
    9,223.31x = 12,726.58 × 5,189.58
  4. Step 4: Simplify right side
    9,223.31x = 66,045,515.46
  5. Step 5: Solve for x
    x = 66,045,515.46/9,223.31
  6. Step 6: Final answer
    x = 7,160.72

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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.