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Finding the Fourth Proportional to 9,696.84, 14,545.10 and 3,123.06

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Solution

The fourth proportional to 9,696.84, 14,545.10 and 3,123.06 is: 4,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.84 : 14,545.10 = 3,123.06 : x
  2. Step 2: Convert to fraction form
    9,696.84/14,545.10 = 3,123.06/x
  3. Step 3: Cross multiply
    9,696.84x = 14,545.10 × 3,123.06
  4. Step 4: Simplify right side
    9,696.84x = 45,425,220.01
  5. Step 5: Solve for x
    x = 45,425,220.01/9,696.84
  6. Step 6: Final answer
    x = 4,684.54

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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.