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Finding the Fourth Proportional to 9,696.72, 14,545.83 and 3,123.11

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Solution

The fourth proportional to 9,696.72, 14,545.83 and 3,123.11 is: 4,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.72 : 14,545.83 = 3,123.11 : x
  2. Step 2: Convert to fraction form
    9,696.72/14,545.83 = 3,123.11/x
  3. Step 3: Cross multiply
    9,696.72x = 14,545.83 × 3,123.11
  4. Step 4: Simplify right side
    9,696.72x = 45,428,227.13
  5. Step 5: Solve for x
    x = 45,428,227.13/9,696.72
  6. Step 6: Final answer
    x = 4,684.91

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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.