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Finding the Fourth Proportional to 9,404.21, 12,977.31 and 5,425.09

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Solution

The fourth proportional to 9,404.21, 12,977.31 and 5,425.09 is: 7,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.21 : 12,977.31 = 5,425.09 : x
  2. Step 2: Convert to fraction form
    9,404.21/12,977.31 = 5,425.09/x
  3. Step 3: Cross multiply
    9,404.21x = 12,977.31 × 5,425.09
  4. Step 4: Simplify right side
    9,404.21x = 70,403,009.82
  5. Step 5: Solve for x
    x = 70,403,009.82/9,404.21
  6. Step 6: Final answer
    x = 7,486.33

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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.