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Finding the Fourth Proportional to 9,402.14, 12,977.81 and 5,425.85

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Solution

The fourth proportional to 9,402.14, 12,977.81 and 5,425.85 is: 7,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.14 : 12,977.81 = 5,425.85 : x
  2. Step 2: Convert to fraction form
    9,402.14/12,977.81 = 5,425.85/x
  3. Step 3: Cross multiply
    9,402.14x = 12,977.81 × 5,425.85
  4. Step 4: Simplify right side
    9,402.14x = 70,415,558.37
  5. Step 5: Solve for x
    x = 70,415,558.37/9,402.14
  6. Step 6: Final answer
    x = 7,489.32

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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.