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Finding the Fourth Proportional to 9,601.71, 14,390.26 and 7,405.83

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Solution

The fourth proportional to 9,601.71, 14,390.26 and 7,405.83 is: 11,099.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.71 : 14,390.26 = 7,405.83 : x
  2. Step 2: Convert to fraction form
    9,601.71/14,390.26 = 7,405.83/x
  3. Step 3: Cross multiply
    9,601.71x = 14,390.26 × 7,405.83
  4. Step 4: Simplify right side
    9,601.71x = 106,571,800.70
  5. Step 5: Solve for x
    x = 106,571,800.70/9,601.71
  6. Step 6: Final answer
    x = 11,099.26

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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.