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Finding the Fourth Proportional to 9,314.72, 13,972.20 and 2,741.05

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Solution

The fourth proportional to 9,314.72, 13,972.20 and 2,741.05 is: 4,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.72 : 13,972.20 = 2,741.05 : x
  2. Step 2: Convert to fraction form
    9,314.72/13,972.20 = 2,741.05/x
  3. Step 3: Cross multiply
    9,314.72x = 13,972.20 × 2,741.05
  4. Step 4: Simplify right side
    9,314.72x = 38,298,498.81
  5. Step 5: Solve for x
    x = 38,298,498.81/9,314.72
  6. Step 6: Final answer
    x = 4,111.61

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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.