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Finding the Fourth Proportional to 6,468.12, 9,705.48 and 2,769.36

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Solution

The fourth proportional to 6,468.12, 9,705.48 and 2,769.36 is: 4,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.12 : 9,705.48 = 2,769.36 : x
  2. Step 2: Convert to fraction form
    6,468.12/9,705.48 = 2,769.36/x
  3. Step 3: Cross multiply
    6,468.12x = 9,705.48 × 2,769.36
  4. Step 4: Simplify right side
    6,468.12x = 26,877,968.09
  5. Step 5: Solve for x
    x = 26,877,968.09/6,468.12
  6. Step 6: Final answer
    x = 4,155.45

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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.