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Finding the Fourth Proportional to 5,981.33, 9,014.52 and 5,981.33

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Solution

The fourth proportional to 5,981.33, 9,014.52 and 5,981.33 is: 9,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.33 : 9,014.52 = 5,981.33 : x
  2. Step 2: Convert to fraction form
    5,981.33/9,014.52 = 5,981.33/x
  3. Step 3: Cross multiply
    5,981.33x = 9,014.52 × 5,981.33
  4. Step 4: Simplify right side
    5,981.33x = 53,918,773.84
  5. Step 5: Solve for x
    x = 53,918,773.84/5,981.33
  6. Step 6: Final answer
    x = 9,014.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.