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Finding the Fourth Proportional to 9,696.70, 14,559.90 and 5,322.70

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Solution

The fourth proportional to 9,696.70, 14,559.90 and 5,322.70 is: 7,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.70 : 14,559.90 = 5,322.70 : x
  2. Step 2: Convert to fraction form
    9,696.70/14,559.90 = 5,322.70/x
  3. Step 3: Cross multiply
    9,696.70x = 14,559.90 × 5,322.70
  4. Step 4: Simplify right side
    9,696.70x = 77,497,979.73
  5. Step 5: Solve for x
    x = 77,497,979.73/9,696.70
  6. Step 6: Final answer
    x = 7,992.20

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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.