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Finding the Fourth Proportional to 9,614.76, 14,394.06 and 8,692.44

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Solution

The fourth proportional to 9,614.76, 14,394.06 and 8,692.44 is: 13,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.76 : 14,394.06 = 8,692.44 : x
  2. Step 2: Convert to fraction form
    9,614.76/14,394.06 = 8,692.44/x
  3. Step 3: Cross multiply
    9,614.76x = 14,394.06 × 8,692.44
  4. Step 4: Simplify right side
    9,614.76x = 125,119,502.91
  5. Step 5: Solve for x
    x = 125,119,502.91/9,614.76
  6. Step 6: Final answer
    x = 13,013.27

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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.