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Finding the Fourth Proportional to 9,814.96, 13,535.36 and 6,272

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Solution

The fourth proportional to 9,814.96, 13,535.36 and 6,272 is: 8,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.96 : 13,535.36 = 6,272 : x
  2. Step 2: Convert to fraction form
    9,814.96/13,535.36 = 6,272/x
  3. Step 3: Cross multiply
    9,814.96x = 13,535.36 × 6,272
  4. Step 4: Simplify right side
    9,814.96x = 84,893,777.92
  5. Step 5: Solve for x
    x = 84,893,777.92/9,814.96
  6. Step 6: Final answer
    x = 8,649.43

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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.