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Finding the Fourth Proportional to 9,178.30, 12,668.08 and 6,034.78

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Solution

The fourth proportional to 9,178.30, 12,668.08 and 6,034.78 is: 8,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.30 : 12,668.08 = 6,034.78 : x
  2. Step 2: Convert to fraction form
    9,178.30/12,668.08 = 6,034.78/x
  3. Step 3: Cross multiply
    9,178.30x = 12,668.08 × 6,034.78
  4. Step 4: Simplify right side
    9,178.30x = 76,449,075.82
  5. Step 5: Solve for x
    x = 76,449,075.82/9,178.30
  6. Step 6: Final answer
    x = 8,329.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.