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Finding the Fourth Proportional to 7,078.72, 9,769.60 and 4,285.12

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Solution

The fourth proportional to 7,078.72, 9,769.60 and 4,285.12 is: 5,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.72 : 9,769.60 = 4,285.12 : x
  2. Step 2: Convert to fraction form
    7,078.72/9,769.60 = 4,285.12/x
  3. Step 3: Cross multiply
    7,078.72x = 9,769.60 × 4,285.12
  4. Step 4: Simplify right side
    7,078.72x = 41,863,908.35
  5. Step 5: Solve for x
    x = 41,863,908.35/7,078.72
  6. Step 6: Final answer
    x = 5,914.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.