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Finding the Fourth Proportional to 6,866.58, 9,472.68 and 4,033.02

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Solution

The fourth proportional to 6,866.58, 9,472.68 and 4,033.02 is: 5,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.58 : 9,472.68 = 4,033.02 : x
  2. Step 2: Convert to fraction form
    6,866.58/9,472.68 = 4,033.02/x
  3. Step 3: Cross multiply
    6,866.58x = 9,472.68 × 4,033.02
  4. Step 4: Simplify right side
    6,866.58x = 38,203,507.89
  5. Step 5: Solve for x
    x = 38,203,507.89/6,866.58
  6. Step 6: Final answer
    x = 5,563.69

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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.