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Finding the Fourth Proportional to 6,417.82, 9,643.65 and 3,458.46

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Solution

The fourth proportional to 6,417.82, 9,643.65 and 3,458.46 is: 5,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.82 : 9,643.65 = 3,458.46 : x
  2. Step 2: Convert to fraction form
    6,417.82/9,643.65 = 3,458.46/x
  3. Step 3: Cross multiply
    6,417.82x = 9,643.65 × 3,458.46
  4. Step 4: Simplify right side
    6,417.82x = 33,352,160.49
  5. Step 5: Solve for x
    x = 33,352,160.49/6,417.82
  6. Step 6: Final answer
    x = 5,196.81

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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.