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Finding the Fourth Proportional to 6,502.36, 9,750.02 and 3,374.62

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Solution

The fourth proportional to 6,502.36, 9,750.02 and 3,374.62 is: 5,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.36 : 9,750.02 = 3,374.62 : x
  2. Step 2: Convert to fraction form
    6,502.36/9,750.02 = 3,374.62/x
  3. Step 3: Cross multiply
    6,502.36x = 9,750.02 × 3,374.62
  4. Step 4: Simplify right side
    6,502.36x = 32,902,612.49
  5. Step 5: Solve for x
    x = 32,902,612.49/6,502.36
  6. Step 6: Final answer
    x = 5,060.10

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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.