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Finding the Fourth Proportional to 9,381.31, 12,949.48 and 5,404.01

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Solution

The fourth proportional to 9,381.31, 12,949.48 and 5,404.01 is: 7,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.31 : 12,949.48 = 5,404.01 : x
  2. Step 2: Convert to fraction form
    9,381.31/12,949.48 = 5,404.01/x
  3. Step 3: Cross multiply
    9,381.31x = 12,949.48 × 5,404.01
  4. Step 4: Simplify right side
    9,381.31x = 69,979,119.41
  5. Step 5: Solve for x
    x = 69,979,119.41/9,381.31
  6. Step 6: Final answer
    x = 7,459.42

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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.