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Finding the Fourth Proportional to 9,292.88, 13,937.16 and 3,449.36

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Solution

The fourth proportional to 9,292.88, 13,937.16 and 3,449.36 is: 5,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.88 : 13,937.16 = 3,449.36 : x
  2. Step 2: Convert to fraction form
    9,292.88/13,937.16 = 3,449.36/x
  3. Step 3: Cross multiply
    9,292.88x = 13,937.16 × 3,449.36
  4. Step 4: Simplify right side
    9,292.88x = 48,074,282.22
  5. Step 5: Solve for x
    x = 48,074,282.22/9,292.88
  6. Step 6: Final answer
    x = 5,173.24

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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.