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Finding the Fourth Proportional to 6,514.72, 9,767.76 and 2,130.64

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Solution

The fourth proportional to 6,514.72, 9,767.76 and 2,130.64 is: 3,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.72 : 9,767.76 = 2,130.64 : x
  2. Step 2: Convert to fraction form
    6,514.72/9,767.76 = 2,130.64/x
  3. Step 3: Cross multiply
    6,514.72x = 9,767.76 × 2,130.64
  4. Step 4: Simplify right side
    6,514.72x = 20,811,580.17
  5. Step 5: Solve for x
    x = 20,811,580.17/6,514.72
  6. Step 6: Final answer
    x = 3,194.55

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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.