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Finding the Fourth Proportional to 9,450.32, 13,039.84 and 5,470.74

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Solution

The fourth proportional to 9,450.32, 13,039.84 and 5,470.74 is: 7,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.32 : 13,039.84 = 5,470.74 : x
  2. Step 2: Convert to fraction form
    9,450.32/13,039.84 = 5,470.74/x
  3. Step 3: Cross multiply
    9,450.32x = 13,039.84 × 5,470.74
  4. Step 4: Simplify right side
    9,450.32x = 71,337,550.35
  5. Step 5: Solve for x
    x = 71,337,550.35/9,450.32
  6. Step 6: Final answer
    x = 7,548.69

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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.