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Finding the Fourth Proportional to 6,805.24, 9,397.14 and 4,291.84

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Solution

The fourth proportional to 6,805.24, 9,397.14 and 4,291.84 is: 5,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.24 : 9,397.14 = 4,291.84 : x
  2. Step 2: Convert to fraction form
    6,805.24/9,397.14 = 4,291.84/x
  3. Step 3: Cross multiply
    6,805.24x = 9,397.14 × 4,291.84
  4. Step 4: Simplify right side
    6,805.24x = 40,331,021.34
  5. Step 5: Solve for x
    x = 40,331,021.34/6,805.24
  6. Step 6: Final answer
    x = 5,926.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.