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Finding the Fourth Proportional to 6,525.46, 9,006.42 and 4,287.25

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Solution

The fourth proportional to 6,525.46, 9,006.42 and 4,287.25 is: 5,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.46 : 9,006.42 = 4,287.25 : x
  2. Step 2: Convert to fraction form
    6,525.46/9,006.42 = 4,287.25/x
  3. Step 3: Cross multiply
    6,525.46x = 9,006.42 × 4,287.25
  4. Step 4: Simplify right side
    6,525.46x = 38,612,774.15
  5. Step 5: Solve for x
    x = 38,612,774.15/6,525.46
  6. Step 6: Final answer
    x = 5,917.25

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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.