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Finding the Fourth Proportional to 9,193.84, 13,792.01 and 2,951.78

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Solution

The fourth proportional to 9,193.84, 13,792.01 and 2,951.78 is: 4,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.84 : 13,792.01 = 2,951.78 : x
  2. Step 2: Convert to fraction form
    9,193.84/13,792.01 = 2,951.78/x
  3. Step 3: Cross multiply
    9,193.84x = 13,792.01 × 2,951.78
  4. Step 4: Simplify right side
    9,193.84x = 40,710,895.56
  5. Step 5: Solve for x
    x = 40,710,895.56/9,193.84
  6. Step 6: Final answer
    x = 4,428.06

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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.