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Finding the Fourth Proportional to 9,392.20, 14,078.14 and 6,107.64

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Solution

The fourth proportional to 9,392.20, 14,078.14 and 6,107.64 is: 9,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.20 : 14,078.14 = 6,107.64 : x
  2. Step 2: Convert to fraction form
    9,392.20/14,078.14 = 6,107.64/x
  3. Step 3: Cross multiply
    9,392.20x = 14,078.14 × 6,107.64
  4. Step 4: Simplify right side
    9,392.20x = 85,984,210.99
  5. Step 5: Solve for x
    x = 85,984,210.99/9,392.20
  6. Step 6: Final answer
    x = 9,154.85

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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.