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Finding the Fourth Proportional to 9,303.52, 12,839.16 and 5,324.32

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Solution

The fourth proportional to 9,303.52, 12,839.16 and 5,324.32 is: 7,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.52 : 12,839.16 = 5,324.32 : x
  2. Step 2: Convert to fraction form
    9,303.52/12,839.16 = 5,324.32/x
  3. Step 3: Cross multiply
    9,303.52x = 12,839.16 × 5,324.32
  4. Step 4: Simplify right side
    9,303.52x = 68,359,796.37
  5. Step 5: Solve for x
    x = 68,359,796.37/9,303.52
  6. Step 6: Final answer
    x = 7,347.73

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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.