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Finding the Fourth Proportional to 6,566.06, 9,849.74 and 3,232.31

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Solution

The fourth proportional to 6,566.06, 9,849.74 and 3,232.31 is: 4,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.06 : 9,849.74 = 3,232.31 : x
  2. Step 2: Convert to fraction form
    6,566.06/9,849.74 = 3,232.31/x
  3. Step 3: Cross multiply
    6,566.06x = 9,849.74 × 3,232.31
  4. Step 4: Simplify right side
    6,566.06x = 31,837,347.69
  5. Step 5: Solve for x
    x = 31,837,347.69/6,566.06
  6. Step 6: Final answer
    x = 4,848.77

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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.