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Finding the Fourth Proportional to 9,203.52, 13,803.35 and 2,964.09

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Solution

The fourth proportional to 9,203.52, 13,803.35 and 2,964.09 is: 4,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.52 : 13,803.35 = 2,964.09 : x
  2. Step 2: Convert to fraction form
    9,203.52/13,803.35 = 2,964.09/x
  3. Step 3: Cross multiply
    9,203.52x = 13,803.35 × 2,964.09
  4. Step 4: Simplify right side
    9,203.52x = 40,914,356.88
  5. Step 5: Solve for x
    x = 40,914,356.88/9,203.52
  6. Step 6: Final answer
    x = 4,445.51

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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.