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Finding the Fourth Proportional to 9,617.67, 14,402.00 and 8,141.45

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Solution

The fourth proportional to 9,617.67, 14,402.00 and 8,141.45 is: 12,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.67 : 14,402.00 = 8,141.45 : x
  2. Step 2: Convert to fraction form
    9,617.67/14,402.00 = 8,141.45/x
  3. Step 3: Cross multiply
    9,617.67x = 14,402.00 × 8,141.45
  4. Step 4: Simplify right side
    9,617.67x = 117,253,111.24
  5. Step 5: Solve for x
    x = 117,253,111.24/9,617.67
  6. Step 6: Final answer
    x = 12,191.43

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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.