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Finding the Fourth Proportional to 9,752.07, 13,453.52 and 6,213.99

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Solution

The fourth proportional to 9,752.07, 13,453.52 and 6,213.99 is: 8,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.07 : 13,453.52 = 6,213.99 : x
  2. Step 2: Convert to fraction form
    9,752.07/13,453.52 = 6,213.99/x
  3. Step 3: Cross multiply
    9,752.07x = 13,453.52 × 6,213.99
  4. Step 4: Simplify right side
    9,752.07x = 83,600,007.67
  5. Step 5: Solve for x
    x = 83,600,007.67/9,752.07
  6. Step 6: Final answer
    x = 8,572.54

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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.