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Finding the Fourth Proportional to 9,696.20, 14,499.35 and 7,356.72

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Solution

The fourth proportional to 9,696.20, 14,499.35 and 7,356.72 is: 11,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.20 : 14,499.35 = 7,356.72 : x
  2. Step 2: Convert to fraction form
    9,696.20/14,499.35 = 7,356.72/x
  3. Step 3: Cross multiply
    9,696.20x = 14,499.35 × 7,356.72
  4. Step 4: Simplify right side
    9,696.20x = 106,667,621.35
  5. Step 5: Solve for x
    x = 106,667,621.35/9,696.20
  6. Step 6: Final answer
    x = 11,000.97

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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.