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Finding the Fourth Proportional to 9,212, 13,818.72 and 3,056

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Solution

The fourth proportional to 9,212, 13,818.72 and 3,056 is: 4,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212 : 13,818.72 = 3,056 : x
  2. Step 2: Convert to fraction form
    9,212/13,818.72 = 3,056/x
  3. Step 3: Cross multiply
    9,212x = 13,818.72 × 3,056
  4. Step 4: Simplify right side
    9,212x = 42,230,008.32
  5. Step 5: Solve for x
    x = 42,230,008.32/9,212
  6. Step 6: Final answer
    x = 4,584.24

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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.