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Finding the Fourth Proportional to 6,560.68, 9,053.62 and 3,765.96

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Solution

The fourth proportional to 6,560.68, 9,053.62 and 3,765.96 is: 5,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.68 : 9,053.62 = 3,765.96 : x
  2. Step 2: Convert to fraction form
    6,560.68/9,053.62 = 3,765.96/x
  3. Step 3: Cross multiply
    6,560.68x = 9,053.62 × 3,765.96
  4. Step 4: Simplify right side
    6,560.68x = 34,095,570.78
  5. Step 5: Solve for x
    x = 34,095,570.78/6,560.68
  6. Step 6: Final answer
    x = 5,196.96

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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.