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Finding the Fourth Proportional to 6,377.63, 9,502.34 and 6,019.53

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Solution

The fourth proportional to 6,377.63, 9,502.34 and 6,019.53 is: 8,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.63 : 9,502.34 = 6,019.53 : x
  2. Step 2: Convert to fraction form
    6,377.63/9,502.34 = 6,019.53/x
  3. Step 3: Cross multiply
    6,377.63x = 9,502.34 × 6,019.53
  4. Step 4: Simplify right side
    6,377.63x = 57,199,620.70
  5. Step 5: Solve for x
    x = 57,199,620.70/6,377.63
  6. Step 6: Final answer
    x = 8,968.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.