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Finding the Fourth Proportional to 6,187.40, 9,282.48 and 2,291.72

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Solution

The fourth proportional to 6,187.40, 9,282.48 and 2,291.72 is: 3,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.40 : 9,282.48 = 2,291.72 : x
  2. Step 2: Convert to fraction form
    6,187.40/9,282.48 = 2,291.72/x
  3. Step 3: Cross multiply
    6,187.40x = 9,282.48 × 2,291.72
  4. Step 4: Simplify right side
    6,187.40x = 21,272,845.07
  5. Step 5: Solve for x
    x = 21,272,845.07/6,187.40
  6. Step 6: Final answer
    x = 3,438.09

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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.