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Finding the Fourth Proportional to 9,694.20, 13,348.38 and 7,307.64

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Solution

The fourth proportional to 9,694.20, 13,348.38 and 7,307.64 is: 10,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.20 : 13,348.38 = 7,307.64 : x
  2. Step 2: Convert to fraction form
    9,694.20/13,348.38 = 7,307.64/x
  3. Step 3: Cross multiply
    9,694.20x = 13,348.38 × 7,307.64
  4. Step 4: Simplify right side
    9,694.20x = 97,545,155.62
  5. Step 5: Solve for x
    x = 97,545,155.62/9,694.20
  6. Step 6: Final answer
    x = 10,062.22

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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.