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Finding the Fourth Proportional to 6,512.47, 9,762.91 and 2,351.55

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Solution

The fourth proportional to 6,512.47, 9,762.91 and 2,351.55 is: 3,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.47 : 9,762.91 = 2,351.55 : x
  2. Step 2: Convert to fraction form
    6,512.47/9,762.91 = 2,351.55/x
  3. Step 3: Cross multiply
    6,512.47x = 9,762.91 × 2,351.55
  4. Step 4: Simplify right side
    6,512.47x = 22,958,001.74
  5. Step 5: Solve for x
    x = 22,958,001.74/6,512.47
  6. Step 6: Final answer
    x = 3,525.24

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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.