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Finding the Fourth Proportional to 9,000.14, 12,420.81 and 5,022.02

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Solution

The fourth proportional to 9,000.14, 12,420.81 and 5,022.02 is: 6,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.14 : 12,420.81 = 5,022.02 : x
  2. Step 2: Convert to fraction form
    9,000.14/12,420.81 = 5,022.02/x
  3. Step 3: Cross multiply
    9,000.14x = 12,420.81 × 5,022.02
  4. Step 4: Simplify right side
    9,000.14x = 62,377,587.29
  5. Step 5: Solve for x
    x = 62,377,587.29/9,000.14
  6. Step 6: Final answer
    x = 6,930.74

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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.