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Finding the Fourth Proportional to 9,865.56, 13,614.89 and 5,673.81

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Solution

The fourth proportional to 9,865.56, 13,614.89 and 5,673.81 is: 7,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.56 : 13,614.89 = 5,673.81 : x
  2. Step 2: Convert to fraction form
    9,865.56/13,614.89 = 5,673.81/x
  3. Step 3: Cross multiply
    9,865.56x = 13,614.89 × 5,673.81
  4. Step 4: Simplify right side
    9,865.56x = 77,248,299.03
  5. Step 5: Solve for x
    x = 77,248,299.03/9,865.56
  6. Step 6: Final answer
    x = 7,830.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.