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Finding the Fourth Proportional to 9,030.72, 12,436.38 and 7,444.23

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Solution

The fourth proportional to 9,030.72, 12,436.38 and 7,444.23 is: 10,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.72 : 12,436.38 = 7,444.23 : x
  2. Step 2: Convert to fraction form
    9,030.72/12,436.38 = 7,444.23/x
  3. Step 3: Cross multiply
    9,030.72x = 12,436.38 × 7,444.23
  4. Step 4: Simplify right side
    9,030.72x = 92,579,273.09
  5. Step 5: Solve for x
    x = 92,579,273.09/9,030.72
  6. Step 6: Final answer
    x = 10,251.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.