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Finding the Fourth Proportional to 9,164.90, 13,722.74 and 4,773.13

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Solution

The fourth proportional to 9,164.90, 13,722.74 and 4,773.13 is: 7,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.90 : 13,722.74 = 4,773.13 : x
  2. Step 2: Convert to fraction form
    9,164.90/13,722.74 = 4,773.13/x
  3. Step 3: Cross multiply
    9,164.90x = 13,722.74 × 4,773.13
  4. Step 4: Simplify right side
    9,164.90x = 65,500,395.13
  5. Step 5: Solve for x
    x = 65,500,395.13/9,164.90
  6. Step 6: Final answer
    x = 7,146.88

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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.