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Finding the Fourth Proportional to 6,575.25, 9,073.86 and 4,220.58

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Solution

The fourth proportional to 6,575.25, 9,073.86 and 4,220.58 is: 5,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.25 : 9,073.86 = 4,220.58 : x
  2. Step 2: Convert to fraction form
    6,575.25/9,073.86 = 4,220.58/x
  3. Step 3: Cross multiply
    6,575.25x = 9,073.86 × 4,220.58
  4. Step 4: Simplify right side
    6,575.25x = 38,296,952.04
  5. Step 5: Solve for x
    x = 38,296,952.04/6,575.25
  6. Step 6: Final answer
    x = 5,824.41

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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.