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Finding the Fourth Proportional to 22,937.80, 34,407.70 and 6,297.40

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Solution

The fourth proportional to 22,937.80, 34,407.70 and 6,297.40 is: 9,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.80 : 34,407.70 = 6,297.40 : x
  2. Step 2: Convert to fraction form
    22,937.80/34,407.70 = 6,297.40/x
  3. Step 3: Cross multiply
    22,937.80x = 34,407.70 × 6,297.40
  4. Step 4: Simplify right side
    22,937.80x = 216,679,049.98
  5. Step 5: Solve for x
    x = 216,679,049.98/22,937.80
  6. Step 6: Final answer
    x = 9,446.37

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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.