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Finding the Fourth Proportional to 9,000.33, 12,419.87 and 5,643

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Solution

The fourth proportional to 9,000.33, 12,419.87 and 5,643 is: 7,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.33 : 12,419.87 = 5,643 : x
  2. Step 2: Convert to fraction form
    9,000.33/12,419.87 = 5,643/x
  3. Step 3: Cross multiply
    9,000.33x = 12,419.87 × 5,643
  4. Step 4: Simplify right side
    9,000.33x = 70,085,298.20
  5. Step 5: Solve for x
    x = 70,085,298.20/9,000.33
  6. Step 6: Final answer
    x = 7,786.97

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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.