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Finding the Fourth Proportional to 7,117.86, 9,822.63 and 3,974.05

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Solution

The fourth proportional to 7,117.86, 9,822.63 and 3,974.05 is: 5,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.86 : 9,822.63 = 3,974.05 : x
  2. Step 2: Convert to fraction form
    7,117.86/9,822.63 = 3,974.05/x
  3. Step 3: Cross multiply
    7,117.86x = 9,822.63 × 3,974.05
  4. Step 4: Simplify right side
    7,117.86x = 39,035,622.75
  5. Step 5: Solve for x
    x = 39,035,622.75/7,117.86
  6. Step 6: Final answer
    x = 5,484.18

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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.