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Finding the Fourth Proportional to 10,767.18, 14,865.93 and 9,629.28

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Solution

The fourth proportional to 10,767.18, 14,865.93 and 9,629.28 is: 13,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.18 : 14,865.93 = 9,629.28 : x
  2. Step 2: Convert to fraction form
    10,767.18/14,865.93 = 9,629.28/x
  3. Step 3: Cross multiply
    10,767.18x = 14,865.93 × 9,629.28
  4. Step 4: Simplify right side
    10,767.18x = 143,148,202.43
  5. Step 5: Solve for x
    x = 143,148,202.43/10,767.18
  6. Step 6: Final answer
    x = 13,294.87

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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.