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Finding the Fourth Proportional to 6,344.87, 9,526.50 and 4,505.76

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Solution

The fourth proportional to 6,344.87, 9,526.50 and 4,505.76 is: 6,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.87 : 9,526.50 = 4,505.76 : x
  2. Step 2: Convert to fraction form
    6,344.87/9,526.50 = 4,505.76/x
  3. Step 3: Cross multiply
    6,344.87x = 9,526.50 × 4,505.76
  4. Step 4: Simplify right side
    6,344.87x = 42,924,122.64
  5. Step 5: Solve for x
    x = 42,924,122.64/6,344.87
  6. Step 6: Final answer
    x = 6,765.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.