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Finding the Fourth Proportional to 6,562.76, 9,056.82 and 3,730.08

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Solution

The fourth proportional to 6,562.76, 9,056.82 and 3,730.08 is: 5,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.76 : 9,056.82 = 3,730.08 : x
  2. Step 2: Convert to fraction form
    6,562.76/9,056.82 = 3,730.08/x
  3. Step 3: Cross multiply
    6,562.76x = 9,056.82 × 3,730.08
  4. Step 4: Simplify right side
    6,562.76x = 33,782,663.15
  5. Step 5: Solve for x
    x = 33,782,663.15/6,562.76
  6. Step 6: Final answer
    x = 5,147.63

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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.