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Finding the Fourth Proportional to 9,331.84, 12,877.44 and 5,354.20

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Solution

The fourth proportional to 9,331.84, 12,877.44 and 5,354.20 is: 7,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.84 : 12,877.44 = 5,354.20 : x
  2. Step 2: Convert to fraction form
    9,331.84/12,877.44 = 5,354.20/x
  3. Step 3: Cross multiply
    9,331.84x = 12,877.44 × 5,354.20
  4. Step 4: Simplify right side
    9,331.84x = 68,948,389.25
  5. Step 5: Solve for x
    x = 68,948,389.25/9,331.84
  6. Step 6: Final answer
    x = 7,388.51

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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.