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Finding the Fourth Proportional to 6,746.31, 9,311.46 and 4,093.14

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Solution

The fourth proportional to 6,746.31, 9,311.46 and 4,093.14 is: 5,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.31 : 9,311.46 = 4,093.14 : x
  2. Step 2: Convert to fraction form
    6,746.31/9,311.46 = 4,093.14/x
  3. Step 3: Cross multiply
    6,746.31x = 9,311.46 × 4,093.14
  4. Step 4: Simplify right side
    6,746.31x = 38,113,109.38
  5. Step 5: Solve for x
    x = 38,113,109.38/6,746.31
  6. Step 6: Final answer
    x = 5,649.47

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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.