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Finding the Fourth Proportional to 7,192, 9,925.92 and 4,709.44

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Solution

The fourth proportional to 7,192, 9,925.92 and 4,709.44 is: 6,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192 : 9,925.92 = 4,709.44 : x
  2. Step 2: Convert to fraction form
    7,192/9,925.92 = 4,709.44/x
  3. Step 3: Cross multiply
    7,192x = 9,925.92 × 4,709.44
  4. Step 4: Simplify right side
    7,192x = 46,745,524.68
  5. Step 5: Solve for x
    x = 46,745,524.68/7,192
  6. Step 6: Final answer
    x = 6,499.66

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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.