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Finding the Fourth Proportional to 6,468.78, 9,698.40 and 4,383.60

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Solution

The fourth proportional to 6,468.78, 9,698.40 and 4,383.60 is: 6,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.78 : 9,698.40 = 4,383.60 : x
  2. Step 2: Convert to fraction form
    6,468.78/9,698.40 = 4,383.60/x
  3. Step 3: Cross multiply
    6,468.78x = 9,698.40 × 4,383.60
  4. Step 4: Simplify right side
    6,468.78x = 42,513,906.24
  5. Step 5: Solve for x
    x = 42,513,906.24/6,468.78
  6. Step 6: Final answer
    x = 6,572.17

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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.