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Finding the Fourth Proportional to 6,232.58, 9,346.83 and 2,071.47

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Solution

The fourth proportional to 6,232.58, 9,346.83 and 2,071.47 is: 3,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.58 : 9,346.83 = 2,071.47 : x
  2. Step 2: Convert to fraction form
    6,232.58/9,346.83 = 2,071.47/x
  3. Step 3: Cross multiply
    6,232.58x = 9,346.83 × 2,071.47
  4. Step 4: Simplify right side
    6,232.58x = 19,361,664.30
  5. Step 5: Solve for x
    x = 19,361,664.30/6,232.58
  6. Step 6: Final answer
    x = 3,106.53

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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.