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Finding the Fourth Proportional to 6,505.53, 9,735.62 and 5,321.85

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Solution

The fourth proportional to 6,505.53, 9,735.62 and 5,321.85 is: 7,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.53 : 9,735.62 = 5,321.85 : x
  2. Step 2: Convert to fraction form
    6,505.53/9,735.62 = 5,321.85/x
  3. Step 3: Cross multiply
    6,505.53x = 9,735.62 × 5,321.85
  4. Step 4: Simplify right side
    6,505.53x = 51,811,482.69
  5. Step 5: Solve for x
    x = 51,811,482.69/6,505.53
  6. Step 6: Final answer
    x = 7,964.22

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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.