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Finding the Fourth Proportional to 9,203.97, 13,807.85 and 2,962.11

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Solution

The fourth proportional to 9,203.97, 13,807.85 and 2,962.11 is: 4,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.97 : 13,807.85 = 2,962.11 : x
  2. Step 2: Convert to fraction form
    9,203.97/13,807.85 = 2,962.11/x
  3. Step 3: Cross multiply
    9,203.97x = 13,807.85 × 2,962.11
  4. Step 4: Simplify right side
    9,203.97x = 40,900,355.75
  5. Step 5: Solve for x
    x = 40,900,355.75/9,203.97
  6. Step 6: Final answer
    x = 4,443.77

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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.