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Finding the Fourth Proportional to 6,844.51, 9,445.56 and 3,859.76

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Solution

The fourth proportional to 6,844.51, 9,445.56 and 3,859.76 is: 5,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.51 : 9,445.56 = 3,859.76 : x
  2. Step 2: Convert to fraction form
    6,844.51/9,445.56 = 3,859.76/x
  3. Step 3: Cross multiply
    6,844.51x = 9,445.56 × 3,859.76
  4. Step 4: Simplify right side
    6,844.51x = 36,457,568.38
  5. Step 5: Solve for x
    x = 36,457,568.38/6,844.51
  6. Step 6: Final answer
    x = 5,326.54

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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.