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Finding the Fourth Proportional to 9,154.85, 13,738.41 and 4,997.84

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Solution

The fourth proportional to 9,154.85, 13,738.41 and 4,997.84 is: 7,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.85 : 13,738.41 = 4,997.84 : x
  2. Step 2: Convert to fraction form
    9,154.85/13,738.41 = 4,997.84/x
  3. Step 3: Cross multiply
    9,154.85x = 13,738.41 × 4,997.84
  4. Step 4: Simplify right side
    9,154.85x = 68,662,306.34
  5. Step 5: Solve for x
    x = 68,662,306.34/9,154.85
  6. Step 6: Final answer
    x = 7,500.11

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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.