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Finding the Fourth Proportional to 6,194.97, 9,237.33 and 6,118.47

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Solution

The fourth proportional to 6,194.97, 9,237.33 and 6,118.47 is: 9,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.97 : 9,237.33 = 6,118.47 : x
  2. Step 2: Convert to fraction form
    6,194.97/9,237.33 = 6,118.47/x
  3. Step 3: Cross multiply
    6,194.97x = 9,237.33 × 6,118.47
  4. Step 4: Simplify right side
    6,194.97x = 56,518,326.49
  5. Step 5: Solve for x
    x = 56,518,326.49/6,194.97
  6. Step 6: Final answer
    x = 9,123.26

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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.