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Finding the Fourth Proportional to 7,121.81, 9,828.71 and 3,935.40

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Solution

The fourth proportional to 7,121.81, 9,828.71 and 3,935.40 is: 5,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.81 : 9,828.71 = 3,935.40 : x
  2. Step 2: Convert to fraction form
    7,121.81/9,828.71 = 3,935.40/x
  3. Step 3: Cross multiply
    7,121.81x = 9,828.71 × 3,935.40
  4. Step 4: Simplify right side
    7,121.81x = 38,679,885.66
  5. Step 5: Solve for x
    x = 38,679,885.66/7,121.81
  6. Step 6: Final answer
    x = 5,431.19

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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.