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Finding the Fourth Proportional to 9,199.40, 12,696.42 and 5,473

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Solution

The fourth proportional to 9,199.40, 12,696.42 and 5,473 is: 7,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.40 : 12,696.42 = 5,473 : x
  2. Step 2: Convert to fraction form
    9,199.40/12,696.42 = 5,473/x
  3. Step 3: Cross multiply
    9,199.40x = 12,696.42 × 5,473
  4. Step 4: Simplify right side
    9,199.40x = 69,487,506.66
  5. Step 5: Solve for x
    x = 69,487,506.66/9,199.40
  6. Step 6: Final answer
    x = 7,553.48

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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.