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Finding the Fourth Proportional to 9,342.27, 14,013 and 2,322.14

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Solution

The fourth proportional to 9,342.27, 14,013 and 2,322.14 is: 3,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.27 : 14,013 = 2,322.14 : x
  2. Step 2: Convert to fraction form
    9,342.27/14,013 = 2,322.14/x
  3. Step 3: Cross multiply
    9,342.27x = 14,013 × 2,322.14
  4. Step 4: Simplify right side
    9,342.27x = 32,540,077.76
  5. Step 5: Solve for x
    x = 32,540,077.76/9,342.27
  6. Step 6: Final answer
    x = 3,483.10

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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.