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Finding the Fourth Proportional to 9,313.47, 13,972.16 and 2,739.11

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Solution

The fourth proportional to 9,313.47, 13,972.16 and 2,739.11 is: 4,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.47 : 13,972.16 = 2,739.11 : x
  2. Step 2: Convert to fraction form
    9,313.47/13,972.16 = 2,739.11/x
  3. Step 3: Cross multiply
    9,313.47x = 13,972.16 × 2,739.11
  4. Step 4: Simplify right side
    9,313.47x = 38,271,220.16
  5. Step 5: Solve for x
    x = 38,271,220.16/9,313.47
  6. Step 6: Final answer
    x = 4,109.23

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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.