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Finding the Fourth Proportional to 9,880.74, 13,635.38 and 5,343.39

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Solution

The fourth proportional to 9,880.74, 13,635.38 and 5,343.39 is: 7,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.74 : 13,635.38 = 5,343.39 : x
  2. Step 2: Convert to fraction form
    9,880.74/13,635.38 = 5,343.39/x
  3. Step 3: Cross multiply
    9,880.74x = 13,635.38 × 5,343.39
  4. Step 4: Simplify right side
    9,880.74x = 72,859,153.14
  5. Step 5: Solve for x
    x = 72,859,153.14/9,880.74
  6. Step 6: Final answer
    x = 7,373.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.