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Finding the Fourth Proportional to 9,593.31, 14,392.02 and 3,020.01

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Solution

The fourth proportional to 9,593.31, 14,392.02 and 3,020.01 is: 4,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.31 : 14,392.02 = 3,020.01 : x
  2. Step 2: Convert to fraction form
    9,593.31/14,392.02 = 3,020.01/x
  3. Step 3: Cross multiply
    9,593.31x = 14,392.02 × 3,020.01
  4. Step 4: Simplify right side
    9,593.31x = 43,464,044.32
  5. Step 5: Solve for x
    x = 43,464,044.32/9,593.31
  6. Step 6: Final answer
    x = 4,530.66

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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.