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Finding the Fourth Proportional to 8,291.58, 12,419.82 and 6,214.74

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Solution

The fourth proportional to 8,291.58, 12,419.82 and 6,214.74 is: 9,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.58 : 12,419.82 = 6,214.74 : x
  2. Step 2: Convert to fraction form
    8,291.58/12,419.82 = 6,214.74/x
  3. Step 3: Cross multiply
    8,291.58x = 12,419.82 × 6,214.74
  4. Step 4: Simplify right side
    8,291.58x = 77,185,952.15
  5. Step 5: Solve for x
    x = 77,185,952.15/8,291.58
  6. Step 6: Final answer
    x = 9,308.96

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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.