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Finding the Fourth Proportional to 6,487.20, 9,735.84 and 2,594.16

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Solution

The fourth proportional to 6,487.20, 9,735.84 and 2,594.16 is: 3,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.20 : 9,735.84 = 2,594.16 : x
  2. Step 2: Convert to fraction form
    6,487.20/9,735.84 = 2,594.16/x
  3. Step 3: Cross multiply
    6,487.20x = 9,735.84 × 2,594.16
  4. Step 4: Simplify right side
    6,487.20x = 25,256,326.69
  5. Step 5: Solve for x
    x = 25,256,326.69/6,487.20
  6. Step 6: Final answer
    x = 3,893.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.