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Finding the Fourth Proportional to 6,563.60, 9,058.12 and 3,730.92

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Solution

The fourth proportional to 6,563.60, 9,058.12 and 3,730.92 is: 5,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.60 : 9,058.12 = 3,730.92 : x
  2. Step 2: Convert to fraction form
    6,563.60/9,058.12 = 3,730.92/x
  3. Step 3: Cross multiply
    6,563.60x = 9,058.12 × 3,730.92
  4. Step 4: Simplify right side
    6,563.60x = 33,795,121.07
  5. Step 5: Solve for x
    x = 33,795,121.07/6,563.60
  6. Step 6: Final answer
    x = 5,148.87

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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.