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Finding the Fourth Proportional to 9,661.17, 14,481.95 and 5,492.57

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Solution

The fourth proportional to 9,661.17, 14,481.95 and 5,492.57 is: 8,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.17 : 14,481.95 = 5,492.57 : x
  2. Step 2: Convert to fraction form
    9,661.17/14,481.95 = 5,492.57/x
  3. Step 3: Cross multiply
    9,661.17x = 14,481.95 × 5,492.57
  4. Step 4: Simplify right side
    9,661.17x = 79,543,124.11
  5. Step 5: Solve for x
    x = 79,543,124.11/9,661.17
  6. Step 6: Final answer
    x = 8,233.28

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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.