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Finding the Fourth Proportional to 9,203.32, 12,700.38 and 5,224.36

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Solution

The fourth proportional to 9,203.32, 12,700.38 and 5,224.36 is: 7,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.32 : 12,700.38 = 5,224.36 : x
  2. Step 2: Convert to fraction form
    9,203.32/12,700.38 = 5,224.36/x
  3. Step 3: Cross multiply
    9,203.32x = 12,700.38 × 5,224.36
  4. Step 4: Simplify right side
    9,203.32x = 66,351,357.26
  5. Step 5: Solve for x
    x = 66,351,357.26/9,203.32
  6. Step 6: Final answer
    x = 7,209.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.