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Finding the Fourth Proportional to 9,203.93, 13,808.10 and 2,964.53

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Solution

The fourth proportional to 9,203.93, 13,808.10 and 2,964.53 is: 4,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.93 : 13,808.10 = 2,964.53 : x
  2. Step 2: Convert to fraction form
    9,203.93/13,808.10 = 2,964.53/x
  3. Step 3: Cross multiply
    9,203.93x = 13,808.10 × 2,964.53
  4. Step 4: Simplify right side
    9,203.93x = 40,934,572.33
  5. Step 5: Solve for x
    x = 40,934,572.33/9,203.93
  6. Step 6: Final answer
    x = 4,447.51

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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.