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Finding the Fourth Proportional to 9,203.71, 13,807.77 and 2,964.30

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Solution

The fourth proportional to 9,203.71, 13,807.77 and 2,964.30 is: 4,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.71 : 13,807.77 = 2,964.30 : x
  2. Step 2: Convert to fraction form
    9,203.71/13,807.77 = 2,964.30/x
  3. Step 3: Cross multiply
    9,203.71x = 13,807.77 × 2,964.30
  4. Step 4: Simplify right side
    9,203.71x = 40,930,372.61
  5. Step 5: Solve for x
    x = 40,930,372.61/9,203.71
  6. Step 6: Final answer
    x = 4,447.16

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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.