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Finding the Fourth Proportional to 9,668.10, 14,515.65 and 6,179.70

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Solution

The fourth proportional to 9,668.10, 14,515.65 and 6,179.70 is: 9,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.10 : 14,515.65 = 6,179.70 : x
  2. Step 2: Convert to fraction form
    9,668.10/14,515.65 = 6,179.70/x
  3. Step 3: Cross multiply
    9,668.10x = 14,515.65 × 6,179.70
  4. Step 4: Simplify right side
    9,668.10x = 89,702,362.31
  5. Step 5: Solve for x
    x = 89,702,362.31/9,668.10
  6. Step 6: Final answer
    x = 9,278.18

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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.