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Finding the Fourth Proportional to 9,596.53, 14,389.78 and 3,020.95

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Solution

The fourth proportional to 9,596.53, 14,389.78 and 3,020.95 is: 4,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.53 : 14,389.78 = 3,020.95 : x
  2. Step 2: Convert to fraction form
    9,596.53/14,389.78 = 3,020.95/x
  3. Step 3: Cross multiply
    9,596.53x = 14,389.78 × 3,020.95
  4. Step 4: Simplify right side
    9,596.53x = 43,470,732.55
  5. Step 5: Solve for x
    x = 43,470,732.55/9,596.53
  6. Step 6: Final answer
    x = 4,529.84

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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.