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Finding the Fourth Proportional to 9,449.74, 13,038.96 and 5,470.66

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Solution

The fourth proportional to 9,449.74, 13,038.96 and 5,470.66 is: 7,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.74 : 13,038.96 = 5,470.66 : x
  2. Step 2: Convert to fraction form
    9,449.74/13,038.96 = 5,470.66/x
  3. Step 3: Cross multiply
    9,449.74x = 13,038.96 × 5,470.66
  4. Step 4: Simplify right side
    9,449.74x = 71,331,716.91
  5. Step 5: Solve for x
    x = 71,331,716.91/9,449.74
  6. Step 6: Final answer
    x = 7,548.54

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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.