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Finding the Fourth Proportional to 9,487.81, 14,224.40 and 3,564.57

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Solution

The fourth proportional to 9,487.81, 14,224.40 and 3,564.57 is: 5,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.81 : 14,224.40 = 3,564.57 : x
  2. Step 2: Convert to fraction form
    9,487.81/14,224.40 = 3,564.57/x
  3. Step 3: Cross multiply
    9,487.81x = 14,224.40 × 3,564.57
  4. Step 4: Simplify right side
    9,487.81x = 50,703,869.51
  5. Step 5: Solve for x
    x = 50,703,869.51/9,487.81
  6. Step 6: Final answer
    x = 5,344.11

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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.