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Finding the Fourth Proportional to 9,767.44, 13,467.18 and 6,618.16

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Solution

The fourth proportional to 9,767.44, 13,467.18 and 6,618.16 is: 9,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.44 : 13,467.18 = 6,618.16 : x
  2. Step 2: Convert to fraction form
    9,767.44/13,467.18 = 6,618.16/x
  3. Step 3: Cross multiply
    9,767.44x = 13,467.18 × 6,618.16
  4. Step 4: Simplify right side
    9,767.44x = 89,127,951.99
  5. Step 5: Solve for x
    x = 89,127,951.99/9,767.44
  6. Step 6: Final answer
    x = 9,125.01

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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.