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Finding the Fourth Proportional to 7,164.92, 9,887.76 and 4,021.34

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Solution

The fourth proportional to 7,164.92, 9,887.76 and 4,021.34 is: 5,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.92 : 9,887.76 = 4,021.34 : x
  2. Step 2: Convert to fraction form
    7,164.92/9,887.76 = 4,021.34/x
  3. Step 3: Cross multiply
    7,164.92x = 9,887.76 × 4,021.34
  4. Step 4: Simplify right side
    7,164.92x = 39,762,044.80
  5. Step 5: Solve for x
    x = 39,762,044.80/7,164.92
  6. Step 6: Final answer
    x = 5,549.54

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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.