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Finding the Fourth Proportional to 9,803.40, 14,696.83 and 4,252.56

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Solution

The fourth proportional to 9,803.40, 14,696.83 and 4,252.56 is: 6,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.40 : 14,696.83 = 4,252.56 : x
  2. Step 2: Convert to fraction form
    9,803.40/14,696.83 = 4,252.56/x
  3. Step 3: Cross multiply
    9,803.40x = 14,696.83 × 4,252.56
  4. Step 4: Simplify right side
    9,803.40x = 62,499,151.38
  5. Step 5: Solve for x
    x = 62,499,151.38/9,803.40
  6. Step 6: Final answer
    x = 6,375.25

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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.