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Finding the Fourth Proportional to 6,765.82, 9,325.68 and 4,526.89

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Solution

The fourth proportional to 6,765.82, 9,325.68 and 4,526.89 is: 6,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.82 : 9,325.68 = 4,526.89 : x
  2. Step 2: Convert to fraction form
    6,765.82/9,325.68 = 4,526.89/x
  3. Step 3: Cross multiply
    6,765.82x = 9,325.68 × 4,526.89
  4. Step 4: Simplify right side
    6,765.82x = 42,216,327.54
  5. Step 5: Solve for x
    x = 42,216,327.54/6,765.82
  6. Step 6: Final answer
    x = 6,239.65

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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.