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Finding the Fourth Proportional to 9,412.55, 12,989.46 and 5,164.03

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Solution

The fourth proportional to 9,412.55, 12,989.46 and 5,164.03 is: 7,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.55 : 12,989.46 = 5,164.03 : x
  2. Step 2: Convert to fraction form
    9,412.55/12,989.46 = 5,164.03/x
  3. Step 3: Cross multiply
    9,412.55x = 12,989.46 × 5,164.03
  4. Step 4: Simplify right side
    9,412.55x = 67,077,961.12
  5. Step 5: Solve for x
    x = 67,077,961.12/9,412.55
  6. Step 6: Final answer
    x = 7,126.44

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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.