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Finding the Fourth Proportional to 9,865.31, 13,614.54 and 5,673.56

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Solution

The fourth proportional to 9,865.31, 13,614.54 and 5,673.56 is: 7,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.31 : 13,614.54 = 5,673.56 : x
  2. Step 2: Convert to fraction form
    9,865.31/13,614.54 = 5,673.56/x
  3. Step 3: Cross multiply
    9,865.31x = 13,614.54 × 5,673.56
  4. Step 4: Simplify right side
    9,865.31x = 77,242,929.41
  5. Step 5: Solve for x
    x = 77,242,929.41/9,865.31
  6. Step 6: Final answer
    x = 7,829.75

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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.