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Finding the Fourth Proportional to 6,608.30, 9,897.23 and 3,828.07

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Solution

The fourth proportional to 6,608.30, 9,897.23 and 3,828.07 is: 5,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.30 : 9,897.23 = 3,828.07 : x
  2. Step 2: Convert to fraction form
    6,608.30/9,897.23 = 3,828.07/x
  3. Step 3: Cross multiply
    6,608.30x = 9,897.23 × 3,828.07
  4. Step 4: Simplify right side
    6,608.30x = 37,887,298.82
  5. Step 5: Solve for x
    x = 37,887,298.82/6,608.30
  6. Step 6: Final answer
    x = 5,733.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.