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Finding the Fourth Proportional to 9,661.92, 14,482.84 and 5,492.94

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Solution

The fourth proportional to 9,661.92, 14,482.84 and 5,492.94 is: 8,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.92 : 14,482.84 = 5,492.94 : x
  2. Step 2: Convert to fraction form
    9,661.92/14,482.84 = 5,492.94/x
  3. Step 3: Cross multiply
    9,661.92x = 14,482.84 × 5,492.94
  4. Step 4: Simplify right side
    9,661.92x = 79,553,371.15
  5. Step 5: Solve for x
    x = 79,553,371.15/9,661.92
  6. Step 6: Final answer
    x = 8,233.70

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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.