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Finding the Fourth Proportional to 6,109.64, 9,164.44 and 1,492.64

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Solution

The fourth proportional to 6,109.64, 9,164.44 and 1,492.64 is: 2,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.64 : 9,164.44 = 1,492.64 : x
  2. Step 2: Convert to fraction form
    6,109.64/9,164.44 = 1,492.64/x
  3. Step 3: Cross multiply
    6,109.64x = 9,164.44 × 1,492.64
  4. Step 4: Simplify right side
    6,109.64x = 13,679,209.72
  5. Step 5: Solve for x
    x = 13,679,209.72/6,109.64
  6. Step 6: Final answer
    x = 2,238.96

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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.