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Finding the Fourth Proportional to 7,110.83, 9,813.21 and 3,967.22

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Solution

The fourth proportional to 7,110.83, 9,813.21 and 3,967.22 is: 5,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.83 : 9,813.21 = 3,967.22 : x
  2. Step 2: Convert to fraction form
    7,110.83/9,813.21 = 3,967.22/x
  3. Step 3: Cross multiply
    7,110.83x = 9,813.21 × 3,967.22
  4. Step 4: Simplify right side
    7,110.83x = 38,931,162.98
  5. Step 5: Solve for x
    x = 38,931,162.98/7,110.83
  6. Step 6: Final answer
    x = 5,474.91

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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.