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Finding the Fourth Proportional to 9,369.42, 12,932.52 and 5,393.34

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Solution

The fourth proportional to 9,369.42, 12,932.52 and 5,393.34 is: 7,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.42 : 12,932.52 = 5,393.34 : x
  2. Step 2: Convert to fraction form
    9,369.42/12,932.52 = 5,393.34/x
  3. Step 3: Cross multiply
    9,369.42x = 12,932.52 × 5,393.34
  4. Step 4: Simplify right side
    9,369.42x = 69,749,477.42
  5. Step 5: Solve for x
    x = 69,749,477.42/9,369.42
  6. Step 6: Final answer
    x = 7,444.38

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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.