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Finding the Fourth Proportional to 9,142.39, 12,604.75 and 7,499.21

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Solution

The fourth proportional to 9,142.39, 12,604.75 and 7,499.21 is: 10,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.39 : 12,604.75 = 7,499.21 : x
  2. Step 2: Convert to fraction form
    9,142.39/12,604.75 = 7,499.21/x
  3. Step 3: Cross multiply
    9,142.39x = 12,604.75 × 7,499.21
  4. Step 4: Simplify right side
    9,142.39x = 94,525,667.25
  5. Step 5: Solve for x
    x = 94,525,667.25/9,142.39
  6. Step 6: Final answer
    x = 10,339.27

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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.