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Finding the Fourth Proportional to 7,117.88, 9,822.68 and 3,974.07

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Solution

The fourth proportional to 7,117.88, 9,822.68 and 3,974.07 is: 5,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.88 : 9,822.68 = 3,974.07 : x
  2. Step 2: Convert to fraction form
    7,117.88/9,822.68 = 3,974.07/x
  3. Step 3: Cross multiply
    7,117.88x = 9,822.68 × 3,974.07
  4. Step 4: Simplify right side
    7,117.88x = 39,036,017.91
  5. Step 5: Solve for x
    x = 39,036,017.91/7,117.88
  6. Step 6: Final answer
    x = 5,484.22

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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.