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Finding the Fourth Proportional to 7,196.08, 9,932.32 and 5,682.72

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Solution

The fourth proportional to 7,196.08, 9,932.32 and 5,682.72 is: 7,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.08 : 9,932.32 = 5,682.72 : x
  2. Step 2: Convert to fraction form
    7,196.08/9,932.32 = 5,682.72/x
  3. Step 3: Cross multiply
    7,196.08x = 9,932.32 × 5,682.72
  4. Step 4: Simplify right side
    7,196.08x = 56,442,593.51
  5. Step 5: Solve for x
    x = 56,442,593.51/7,196.08
  6. Step 6: Final answer
    x = 7,843.52

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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.