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Finding the Fourth Proportional to 6,381.84, 9,572.23 and 4,035

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Solution

The fourth proportional to 6,381.84, 9,572.23 and 4,035 is: 6,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.84 : 9,572.23 = 4,035 : x
  2. Step 2: Convert to fraction form
    6,381.84/9,572.23 = 4,035/x
  3. Step 3: Cross multiply
    6,381.84x = 9,572.23 × 4,035
  4. Step 4: Simplify right side
    6,381.84x = 38,623,948.05
  5. Step 5: Solve for x
    x = 38,623,948.05/6,381.84
  6. Step 6: Final answer
    x = 6,052.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.