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Finding the Fourth Proportional to 6,705.90, 9,257.49 and 4,319.46

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Solution

The fourth proportional to 6,705.90, 9,257.49 and 4,319.46 is: 5,963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.90 : 9,257.49 = 4,319.46 : x
  2. Step 2: Convert to fraction form
    6,705.90/9,257.49 = 4,319.46/x
  3. Step 3: Cross multiply
    6,705.90x = 9,257.49 × 4,319.46
  4. Step 4: Simplify right side
    6,705.90x = 39,987,357.76
  5. Step 5: Solve for x
    x = 39,987,357.76/6,705.90
  6. Step 6: Final answer
    x = 5,963.01

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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.