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Finding the Fourth Proportional to 6,514.06, 9,768.89 and 2,130.49

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Solution

The fourth proportional to 6,514.06, 9,768.89 and 2,130.49 is: 3,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.06 : 9,768.89 = 2,130.49 : x
  2. Step 2: Convert to fraction form
    6,514.06/9,768.89 = 2,130.49/x
  3. Step 3: Cross multiply
    6,514.06x = 9,768.89 × 2,130.49
  4. Step 4: Simplify right side
    6,514.06x = 20,812,522.46
  5. Step 5: Solve for x
    x = 20,812,522.46/6,514.06
  6. Step 6: Final answer
    x = 3,195.02

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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.