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Finding the Fourth Proportional to 9,164.08, 13,739.39 and 2,920.50

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Solution

The fourth proportional to 9,164.08, 13,739.39 and 2,920.50 is: 4,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.08 : 13,739.39 = 2,920.50 : x
  2. Step 2: Convert to fraction form
    9,164.08/13,739.39 = 2,920.50/x
  3. Step 3: Cross multiply
    9,164.08x = 13,739.39 × 2,920.50
  4. Step 4: Simplify right side
    9,164.08x = 40,125,873.89
  5. Step 5: Solve for x
    x = 40,125,873.89/9,164.08
  6. Step 6: Final answer
    x = 4,378.60

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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.