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Finding the Fourth Proportional to 9,394.34, 14,091.50 and 7,637.24

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Solution

The fourth proportional to 9,394.34, 14,091.50 and 7,637.24 is: 11,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.34 : 14,091.50 = 7,637.24 : x
  2. Step 2: Convert to fraction form
    9,394.34/14,091.50 = 7,637.24/x
  3. Step 3: Cross multiply
    9,394.34x = 14,091.50 × 7,637.24
  4. Step 4: Simplify right side
    9,394.34x = 107,620,167.46
  5. Step 5: Solve for x
    x = 107,620,167.46/9,394.34
  6. Step 6: Final answer
    x = 11,455.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.