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Finding the Fourth Proportional to 6,308.60, 9,451.64 and 3,842.14

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Solution

The fourth proportional to 6,308.60, 9,451.64 and 3,842.14 is: 5,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.60 : 9,451.64 = 3,842.14 : x
  2. Step 2: Convert to fraction form
    6,308.60/9,451.64 = 3,842.14/x
  3. Step 3: Cross multiply
    6,308.60x = 9,451.64 × 3,842.14
  4. Step 4: Simplify right side
    6,308.60x = 36,314,524.11
  5. Step 5: Solve for x
    x = 36,314,524.11/6,308.60
  6. Step 6: Final answer
    x = 5,756.35

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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.