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Finding the Fourth Proportional to 9,223.76, 12,726.88 and 5,865.37

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Solution

The fourth proportional to 9,223.76, 12,726.88 and 5,865.37 is: 8,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.76 : 12,726.88 = 5,865.37 : x
  2. Step 2: Convert to fraction form
    9,223.76/12,726.88 = 5,865.37/x
  3. Step 3: Cross multiply
    9,223.76x = 12,726.88 × 5,865.37
  4. Step 4: Simplify right side
    9,223.76x = 74,647,860.15
  5. Step 5: Solve for x
    x = 74,647,860.15/9,223.76
  6. Step 6: Final answer
    x = 8,093.00

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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.