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Finding the Fourth Proportional to 6,509.74, 9,757.70 and 2,126.02

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Solution

The fourth proportional to 6,509.74, 9,757.70 and 2,126.02 is: 3,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.74 : 9,757.70 = 2,126.02 : x
  2. Step 2: Convert to fraction form
    6,509.74/9,757.70 = 2,126.02/x
  3. Step 3: Cross multiply
    6,509.74x = 9,757.70 × 2,126.02
  4. Step 4: Simplify right side
    6,509.74x = 20,745,065.35
  5. Step 5: Solve for x
    x = 20,745,065.35/6,509.74
  6. Step 6: Final answer
    x = 3,186.77

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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.