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Finding the Fourth Proportional to 6,993.33, 10,459 and 6,218.76

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Solution

The fourth proportional to 6,993.33, 10,459 and 6,218.76 is: 9,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.33 : 10,459 = 6,218.76 : x
  2. Step 2: Convert to fraction form
    6,993.33/10,459 = 6,218.76/x
  3. Step 3: Cross multiply
    6,993.33x = 10,459 × 6,218.76
  4. Step 4: Simplify right side
    6,993.33x = 65,042,010.84
  5. Step 5: Solve for x
    x = 65,042,010.84/6,993.33
  6. Step 6: Final answer
    x = 9,300.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.