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Finding the Fourth Proportional to 6,775.76, 9,354.68 and 4,654.76

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Solution

The fourth proportional to 6,775.76, 9,354.68 and 4,654.76 is: 6,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.76 : 9,354.68 = 4,654.76 : x
  2. Step 2: Convert to fraction form
    6,775.76/9,354.68 = 4,654.76/x
  3. Step 3: Cross multiply
    6,775.76x = 9,354.68 × 4,654.76
  4. Step 4: Simplify right side
    6,775.76x = 43,543,790.28
  5. Step 5: Solve for x
    x = 43,543,790.28/6,775.76
  6. Step 6: Final answer
    x = 6,426.41

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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.