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Finding the Fourth Proportional to 9,313.54, 13,972.38 and 2,739.76

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Solution

The fourth proportional to 9,313.54, 13,972.38 and 2,739.76 is: 4,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.54 : 13,972.38 = 2,739.76 : x
  2. Step 2: Convert to fraction form
    9,313.54/13,972.38 = 2,739.76/x
  3. Step 3: Cross multiply
    9,313.54x = 13,972.38 × 2,739.76
  4. Step 4: Simplify right side
    9,313.54x = 38,280,967.83
  5. Step 5: Solve for x
    x = 38,280,967.83/9,313.54
  6. Step 6: Final answer
    x = 4,110.25

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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.