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Finding the Fourth Proportional to 6,805.18, 9,397.14 and 4,291.78

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Solution

The fourth proportional to 6,805.18, 9,397.14 and 4,291.78 is: 5,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.18 : 9,397.14 = 4,291.78 : x
  2. Step 2: Convert to fraction form
    6,805.18/9,397.14 = 4,291.78/x
  3. Step 3: Cross multiply
    6,805.18x = 9,397.14 × 4,291.78
  4. Step 4: Simplify right side
    6,805.18x = 40,330,457.51
  5. Step 5: Solve for x
    x = 40,330,457.51/6,805.18
  6. Step 6: Final answer
    x = 5,926.44

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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.