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Finding the Fourth Proportional to 9,905.52, 13,668 and 6,131.18

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Solution

The fourth proportional to 9,905.52, 13,668 and 6,131.18 is: 8,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.52 : 13,668 = 6,131.18 : x
  2. Step 2: Convert to fraction form
    9,905.52/13,668 = 6,131.18/x
  3. Step 3: Cross multiply
    9,905.52x = 13,668 × 6,131.18
  4. Step 4: Simplify right side
    9,905.52x = 83,800,968.24
  5. Step 5: Solve for x
    x = 83,800,968.24/9,905.52
  6. Step 6: Final answer
    x = 8,460.03

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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.