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Finding the Fourth Proportional to 9,226, 13,838.86 and 4,292.88

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Solution

The fourth proportional to 9,226, 13,838.86 and 4,292.88 is: 6,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226 : 13,838.86 = 4,292.88 : x
  2. Step 2: Convert to fraction form
    9,226/13,838.86 = 4,292.88/x
  3. Step 3: Cross multiply
    9,226x = 13,838.86 × 4,292.88
  4. Step 4: Simplify right side
    9,226x = 59,408,565.32
  5. Step 5: Solve for x
    x = 59,408,565.32/9,226
  6. Step 6: Final answer
    x = 6,439.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.