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Finding the Fourth Proportional to 9,404.24, 12,958.92 and 7,029.20

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Solution

The fourth proportional to 9,404.24, 12,958.92 and 7,029.20 is: 9,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.24 : 12,958.92 = 7,029.20 : x
  2. Step 2: Convert to fraction form
    9,404.24/12,958.92 = 7,029.20/x
  3. Step 3: Cross multiply
    9,404.24x = 12,958.92 × 7,029.20
  4. Step 4: Simplify right side
    9,404.24x = 91,090,840.46
  5. Step 5: Solve for x
    x = 91,090,840.46/9,404.24
  6. Step 6: Final answer
    x = 9,686.15

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