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Finding the Fourth Proportional to 9,427.74, 13,010.49 and 5,449.02

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Solution

The fourth proportional to 9,427.74, 13,010.49 and 5,449.02 is: 7,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.74 : 13,010.49 = 5,449.02 : x
  2. Step 2: Convert to fraction form
    9,427.74/13,010.49 = 5,449.02/x
  3. Step 3: Cross multiply
    9,427.74x = 13,010.49 × 5,449.02
  4. Step 4: Simplify right side
    9,427.74x = 70,894,420.22
  5. Step 5: Solve for x
    x = 70,894,420.22/9,427.74
  6. Step 6: Final answer
    x = 7,519.77

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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.