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Finding the Fourth Proportional to 9,212.08, 13,818.04 and 6,106

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Solution

The fourth proportional to 9,212.08, 13,818.04 and 6,106 is: 9,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.08 : 13,818.04 = 6,106 : x
  2. Step 2: Convert to fraction form
    9,212.08/13,818.04 = 6,106/x
  3. Step 3: Cross multiply
    9,212.08x = 13,818.04 × 6,106
  4. Step 4: Simplify right side
    9,212.08x = 84,372,952.24
  5. Step 5: Solve for x
    x = 84,372,952.24/9,212.08
  6. Step 6: Final answer
    x = 9,158.95

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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.