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Finding the Fourth Proportional to 6,508.74, 9,756.20 and 2,125.02

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Solution

The fourth proportional to 6,508.74, 9,756.20 and 2,125.02 is: 3,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.74 : 9,756.20 = 2,125.02 : x
  2. Step 2: Convert to fraction form
    6,508.74/9,756.20 = 2,125.02/x
  3. Step 3: Cross multiply
    6,508.74x = 9,756.20 × 2,125.02
  4. Step 4: Simplify right side
    6,508.74x = 20,732,120.12
  5. Step 5: Solve for x
    x = 20,732,120.12/6,508.74
  6. Step 6: Final answer
    x = 3,185.27

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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.