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Finding the Fourth Proportional to 6,473.34, 9,695.56 and 5,629.58

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Solution

The fourth proportional to 6,473.34, 9,695.56 and 5,629.58 is: 8,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.34 : 9,695.56 = 5,629.58 : x
  2. Step 2: Convert to fraction form
    6,473.34/9,695.56 = 5,629.58/x
  3. Step 3: Cross multiply
    6,473.34x = 9,695.56 × 5,629.58
  4. Step 4: Simplify right side
    6,473.34x = 54,581,930.66
  5. Step 5: Solve for x
    x = 54,581,930.66/6,473.34
  6. Step 6: Final answer
    x = 8,431.80

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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.