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Finding the Fourth Proportional to 6,109.32, 9,163.91 and 1,492.32

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Solution

The fourth proportional to 6,109.32, 9,163.91 and 1,492.32 is: 2,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.32 : 9,163.91 = 1,492.32 : x
  2. Step 2: Convert to fraction form
    6,109.32/9,163.91 = 1,492.32/x
  3. Step 3: Cross multiply
    6,109.32x = 9,163.91 × 1,492.32
  4. Step 4: Simplify right side
    6,109.32x = 13,675,432.89
  5. Step 5: Solve for x
    x = 13,675,432.89/6,109.32
  6. Step 6: Final answer
    x = 2,238.46

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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.