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Finding the Fourth Proportional to 9,294.09, 13,941 and 4,360.23

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Solution

The fourth proportional to 9,294.09, 13,941 and 4,360.23 is: 6,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.09 : 13,941 = 4,360.23 : x
  2. Step 2: Convert to fraction form
    9,294.09/13,941 = 4,360.23/x
  3. Step 3: Cross multiply
    9,294.09x = 13,941 × 4,360.23
  4. Step 4: Simplify right side
    9,294.09x = 60,785,966.43
  5. Step 5: Solve for x
    x = 60,785,966.43/9,294.09
  6. Step 6: Final answer
    x = 6,540.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.