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Finding the Fourth Proportional to 9,343.55, 14,024.61 and 4,961.05

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Solution

The fourth proportional to 9,343.55, 14,024.61 and 4,961.05 is: 7,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.55 : 14,024.61 = 4,961.05 : x
  2. Step 2: Convert to fraction form
    9,343.55/14,024.61 = 4,961.05/x
  3. Step 3: Cross multiply
    9,343.55x = 14,024.61 × 4,961.05
  4. Step 4: Simplify right side
    9,343.55x = 69,576,756.38
  5. Step 5: Solve for x
    x = 69,576,756.38/9,343.55
  6. Step 6: Final answer
    x = 7,446.50

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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.