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Finding the Fourth Proportional to 6,905.97, 9,528.57 and 4,515.66

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Solution

The fourth proportional to 6,905.97, 9,528.57 and 4,515.66 is: 6,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.97 : 9,528.57 = 4,515.66 : x
  2. Step 2: Convert to fraction form
    6,905.97/9,528.57 = 4,515.66/x
  3. Step 3: Cross multiply
    6,905.97x = 9,528.57 × 4,515.66
  4. Step 4: Simplify right side
    6,905.97x = 43,027,782.41
  5. Step 5: Solve for x
    x = 43,027,782.41/6,905.97
  6. Step 6: Final answer
    x = 6,230.52

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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.