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Finding the Fourth Proportional to 6,935.84, 9,582.24 and 5,815.04

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Solution

The fourth proportional to 6,935.84, 9,582.24 and 5,815.04 is: 8,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.84 : 9,582.24 = 5,815.04 : x
  2. Step 2: Convert to fraction form
    6,935.84/9,582.24 = 5,815.04/x
  3. Step 3: Cross multiply
    6,935.84x = 9,582.24 × 5,815.04
  4. Step 4: Simplify right side
    6,935.84x = 55,721,108.89
  5. Step 5: Solve for x
    x = 55,721,108.89/6,935.84
  6. Step 6: Final answer
    x = 8,033.79

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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.