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Finding the Fourth Proportional to 6,505.68, 9,758.82 and 2,123.40

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Solution

The fourth proportional to 6,505.68, 9,758.82 and 2,123.40 is: 3,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.68 : 9,758.82 = 2,123.40 : x
  2. Step 2: Convert to fraction form
    6,505.68/9,758.82 = 2,123.40/x
  3. Step 3: Cross multiply
    6,505.68x = 9,758.82 × 2,123.40
  4. Step 4: Simplify right side
    6,505.68x = 20,721,878.39
  5. Step 5: Solve for x
    x = 20,721,878.39/6,505.68
  6. Step 6: Final answer
    x = 3,185.20

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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.