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Finding the Fourth Proportional to 9,072.32, 12,523.64 and 5,536.80

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Solution

The fourth proportional to 9,072.32, 12,523.64 and 5,536.80 is: 7,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.32 : 12,523.64 = 5,536.80 : x
  2. Step 2: Convert to fraction form
    9,072.32/12,523.64 = 5,536.80/x
  3. Step 3: Cross multiply
    9,072.32x = 12,523.64 × 5,536.80
  4. Step 4: Simplify right side
    9,072.32x = 69,340,889.95
  5. Step 5: Solve for x
    x = 69,340,889.95/9,072.32
  6. Step 6: Final answer
    x = 7,643.13

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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.