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Finding the Fourth Proportional to 6,505.02, 9,760.63 and 6,230.80

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Solution

The fourth proportional to 6,505.02, 9,760.63 and 6,230.80 is: 9,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.02 : 9,760.63 = 6,230.80 : x
  2. Step 2: Convert to fraction form
    6,505.02/9,760.63 = 6,230.80/x
  3. Step 3: Cross multiply
    6,505.02x = 9,760.63 × 6,230.80
  4. Step 4: Simplify right side
    6,505.02x = 60,816,533.40
  5. Step 5: Solve for x
    x = 60,816,533.40/6,505.02
  6. Step 6: Final answer
    x = 9,349.17

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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.