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Finding the Fourth Proportional to 9,293, 13,941.66 and 6,691.28

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Solution

The fourth proportional to 9,293, 13,941.66 and 6,691.28 is: 10,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293 : 13,941.66 = 6,691.28 : x
  2. Step 2: Convert to fraction form
    9,293/13,941.66 = 6,691.28/x
  3. Step 3: Cross multiply
    9,293x = 13,941.66 × 6,691.28
  4. Step 4: Simplify right side
    9,293x = 93,287,550.72
  5. Step 5: Solve for x
    x = 93,287,550.72/9,293
  6. Step 6: Final answer
    x = 10,038.48

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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.