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Finding the Fourth Proportional to 9,164.01, 13,747.89 and 2,923.86

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Solution

The fourth proportional to 9,164.01, 13,747.89 and 2,923.86 is: 4,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.01 : 13,747.89 = 2,923.86 : x
  2. Step 2: Convert to fraction form
    9,164.01/13,747.89 = 2,923.86/x
  3. Step 3: Cross multiply
    9,164.01x = 13,747.89 × 2,923.86
  4. Step 4: Simplify right side
    9,164.01x = 40,196,905.66
  5. Step 5: Solve for x
    x = 40,196,905.66/9,164.01
  6. Step 6: Final answer
    x = 4,386.39

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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.