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Finding the Fourth Proportional to 7,110.91, 9,813.61 and 3,924.84

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Solution

The fourth proportional to 7,110.91, 9,813.61 and 3,924.84 is: 5,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.91 : 9,813.61 = 3,924.84 : x
  2. Step 2: Convert to fraction form
    7,110.91/9,813.61 = 3,924.84/x
  3. Step 3: Cross multiply
    7,110.91x = 9,813.61 × 3,924.84
  4. Step 4: Simplify right side
    7,110.91x = 38,516,849.07
  5. Step 5: Solve for x
    x = 38,516,849.07/7,110.91
  6. Step 6: Final answer
    x = 5,416.59

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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.