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Finding the Fourth Proportional to 7,046.43, 9,701.95 and 5,981.99

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Solution

The fourth proportional to 7,046.43, 9,701.95 and 5,981.99 is: 8,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.43 : 9,701.95 = 5,981.99 : x
  2. Step 2: Convert to fraction form
    7,046.43/9,701.95 = 5,981.99/x
  3. Step 3: Cross multiply
    7,046.43x = 9,701.95 × 5,981.99
  4. Step 4: Simplify right side
    7,046.43x = 58,036,967.88
  5. Step 5: Solve for x
    x = 58,036,967.88/7,046.43
  6. Step 6: Final answer
    x = 8,236.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.