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Finding the Fourth Proportional to 9,552.66, 13,184.24 and 5,305.08

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Solution

The fourth proportional to 9,552.66, 13,184.24 and 5,305.08 is: 7,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.66 : 13,184.24 = 5,305.08 : x
  2. Step 2: Convert to fraction form
    9,552.66/13,184.24 = 5,305.08/x
  3. Step 3: Cross multiply
    9,552.66x = 13,184.24 × 5,305.08
  4. Step 4: Simplify right side
    9,552.66x = 69,943,447.94
  5. Step 5: Solve for x
    x = 69,943,447.94/9,552.66
  6. Step 6: Final answer
    x = 7,321.88

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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.