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Finding the Fourth Proportional to 6,088.67, 9,129.90 and 2,138.30

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Solution

The fourth proportional to 6,088.67, 9,129.90 and 2,138.30 is: 3,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.67 : 9,129.90 = 2,138.30 : x
  2. Step 2: Convert to fraction form
    6,088.67/9,129.90 = 2,138.30/x
  3. Step 3: Cross multiply
    6,088.67x = 9,129.90 × 2,138.30
  4. Step 4: Simplify right side
    6,088.67x = 19,522,465.17
  5. Step 5: Solve for x
    x = 19,522,465.17/6,088.67
  6. Step 6: Final answer
    x = 3,206.36

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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.