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Finding the Fourth Proportional to 9,362.10, 14,039.24 and 3,811.68

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Solution

The fourth proportional to 9,362.10, 14,039.24 and 3,811.68 is: 5,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.10 : 14,039.24 = 3,811.68 : x
  2. Step 2: Convert to fraction form
    9,362.10/14,039.24 = 3,811.68/x
  3. Step 3: Cross multiply
    9,362.10x = 14,039.24 × 3,811.68
  4. Step 4: Simplify right side
    9,362.10x = 53,513,071.26
  5. Step 5: Solve for x
    x = 53,513,071.26/9,362.10
  6. Step 6: Final answer
    x = 5,715.93

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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.