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Finding the Fourth Proportional to 9,223.47, 12,729.56 and 8,436.15

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Solution

The fourth proportional to 9,223.47, 12,729.56 and 8,436.15 is: 11,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.47 : 12,729.56 = 8,436.15 : x
  2. Step 2: Convert to fraction form
    9,223.47/12,729.56 = 8,436.15/x
  3. Step 3: Cross multiply
    9,223.47x = 12,729.56 × 8,436.15
  4. Step 4: Simplify right side
    9,223.47x = 107,388,435.41
  5. Step 5: Solve for x
    x = 107,388,435.41/9,223.47
  6. Step 6: Final answer
    x = 11,642.95

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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.