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Finding the Fourth Proportional to 6,191.68, 9,291.16 and 2,298.80

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Solution

The fourth proportional to 6,191.68, 9,291.16 and 2,298.80 is: 3,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.68 : 9,291.16 = 2,298.80 : x
  2. Step 2: Convert to fraction form
    6,191.68/9,291.16 = 2,298.80/x
  3. Step 3: Cross multiply
    6,191.68x = 9,291.16 × 2,298.80
  4. Step 4: Simplify right side
    6,191.68x = 21,358,518.61
  5. Step 5: Solve for x
    x = 21,358,518.61/6,191.68
  6. Step 6: Final answer
    x = 3,449.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.