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Finding the Fourth Proportional to 6,705.32, 9,255.30 and 4,470.44

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Solution

The fourth proportional to 6,705.32, 9,255.30 and 4,470.44 is: 6,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.32 : 9,255.30 = 4,470.44 : x
  2. Step 2: Convert to fraction form
    6,705.32/9,255.30 = 4,470.44/x
  3. Step 3: Cross multiply
    6,705.32x = 9,255.30 × 4,470.44
  4. Step 4: Simplify right side
    6,705.32x = 41,375,263.33
  5. Step 5: Solve for x
    x = 41,375,263.33/6,705.32
  6. Step 6: Final answer
    x = 6,170.51

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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.