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Finding the Fourth Proportional to 6,465.26, 9,701.76 and 2,767.49

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Solution

The fourth proportional to 6,465.26, 9,701.76 and 2,767.49 is: 4,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.26 : 9,701.76 = 2,767.49 : x
  2. Step 2: Convert to fraction form
    6,465.26/9,701.76 = 2,767.49/x
  3. Step 3: Cross multiply
    6,465.26x = 9,701.76 × 2,767.49
  4. Step 4: Simplify right side
    6,465.26x = 26,849,523.78
  5. Step 5: Solve for x
    x = 26,849,523.78/6,465.26
  6. Step 6: Final answer
    x = 4,152.89

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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.