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Finding the Fourth Proportional to 6,666, 9,984.12 and 4,712.28

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Solution

The fourth proportional to 6,666, 9,984.12 and 4,712.28 is: 7,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666 : 9,984.12 = 4,712.28 : x
  2. Step 2: Convert to fraction form
    6,666/9,984.12 = 4,712.28/x
  3. Step 3: Cross multiply
    6,666x = 9,984.12 × 4,712.28
  4. Step 4: Simplify right side
    6,666x = 47,047,968.99
  5. Step 5: Solve for x
    x = 47,047,968.99/6,666
  6. Step 6: Final answer
    x = 7,057.90

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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.