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Finding the Fourth Proportional to 9,661.49, 14,482.42 and 5,492.88

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Solution

The fourth proportional to 9,661.49, 14,482.42 and 5,492.88 is: 8,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.49 : 14,482.42 = 5,492.88 : x
  2. Step 2: Convert to fraction form
    9,661.49/14,482.42 = 5,492.88/x
  3. Step 3: Cross multiply
    9,661.49x = 14,482.42 × 5,492.88
  4. Step 4: Simplify right side
    9,661.49x = 79,550,195.17
  5. Step 5: Solve for x
    x = 79,550,195.17/9,661.49
  6. Step 6: Final answer
    x = 8,233.74

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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.