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Finding the Fourth Proportional to 9,537.62, 14,306.42 and 2,963.80

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Solution

The fourth proportional to 9,537.62, 14,306.42 and 2,963.80 is: 4,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.62 : 14,306.42 = 2,963.80 : x
  2. Step 2: Convert to fraction form
    9,537.62/14,306.42 = 2,963.80/x
  3. Step 3: Cross multiply
    9,537.62x = 14,306.42 × 2,963.80
  4. Step 4: Simplify right side
    9,537.62x = 42,401,392.89
  5. Step 5: Solve for x
    x = 42,401,392.89/9,537.62
  6. Step 6: Final answer
    x = 4,445.70

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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.