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Finding the Fourth Proportional to 6,775.30, 9,345.82 and 4,475.70

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Solution

The fourth proportional to 6,775.30, 9,345.82 and 4,475.70 is: 6,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.30 : 9,345.82 = 4,475.70 : x
  2. Step 2: Convert to fraction form
    6,775.30/9,345.82 = 4,475.70/x
  3. Step 3: Cross multiply
    6,775.30x = 9,345.82 × 4,475.70
  4. Step 4: Simplify right side
    6,775.30x = 41,829,086.57
  5. Step 5: Solve for x
    x = 41,829,086.57/6,775.30
  6. Step 6: Final answer
    x = 6,173.76

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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.