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Finding the Fourth Proportional to 6,502.07, 9,754.02 and 2,118.42

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Solution

The fourth proportional to 6,502.07, 9,754.02 and 2,118.42 is: 3,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.07 : 9,754.02 = 2,118.42 : x
  2. Step 2: Convert to fraction form
    6,502.07/9,754.02 = 2,118.42/x
  3. Step 3: Cross multiply
    6,502.07x = 9,754.02 × 2,118.42
  4. Step 4: Simplify right side
    6,502.07x = 20,663,111.05
  5. Step 5: Solve for x
    x = 20,663,111.05/6,502.07
  6. Step 6: Final answer
    x = 3,177.93

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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.