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Finding the Fourth Proportional to 9,412.38, 12,994.56 and 7,035.48

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Solution

The fourth proportional to 9,412.38, 12,994.56 and 7,035.48 is: 9,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.38 : 12,994.56 = 7,035.48 : x
  2. Step 2: Convert to fraction form
    9,412.38/12,994.56 = 7,035.48/x
  3. Step 3: Cross multiply
    9,412.38x = 12,994.56 × 7,035.48
  4. Step 4: Simplify right side
    9,412.38x = 91,422,966.99
  5. Step 5: Solve for x
    x = 91,422,966.99/9,412.38
  6. Step 6: Final answer
    x = 9,713.06

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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.