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Finding the Fourth Proportional to 6,256.97, 9,339.80 and 5,794.46

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Solution

The fourth proportional to 6,256.97, 9,339.80 and 5,794.46 is: 8,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.97 : 9,339.80 = 5,794.46 : x
  2. Step 2: Convert to fraction form
    6,256.97/9,339.80 = 5,794.46/x
  3. Step 3: Cross multiply
    6,256.97x = 9,339.80 × 5,794.46
  4. Step 4: Simplify right side
    6,256.97x = 54,119,097.51
  5. Step 5: Solve for x
    x = 54,119,097.51/6,256.97
  6. Step 6: Final answer
    x = 8,649.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.