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Finding the Fourth Proportional to 9,394.14, 12,962.82 and 5,415.22

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Solution

The fourth proportional to 9,394.14, 12,962.82 and 5,415.22 is: 7,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.14 : 12,962.82 = 5,415.22 : x
  2. Step 2: Convert to fraction form
    9,394.14/12,962.82 = 5,415.22/x
  3. Step 3: Cross multiply
    9,394.14x = 12,962.82 × 5,415.22
  4. Step 4: Simplify right side
    9,394.14x = 70,196,522.12
  5. Step 5: Solve for x
    x = 70,196,522.12/9,394.14
  6. Step 6: Final answer
    x = 7,472.37

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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.