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Finding the Fourth Proportional to 6,475.80, 9,715.05 and 3,700.20

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Solution

The fourth proportional to 6,475.80, 9,715.05 and 3,700.20 is: 5,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.80 : 9,715.05 = 3,700.20 : x
  2. Step 2: Convert to fraction form
    6,475.80/9,715.05 = 3,700.20/x
  3. Step 3: Cross multiply
    6,475.80x = 9,715.05 × 3,700.20
  4. Step 4: Simplify right side
    6,475.80x = 35,947,628.01
  5. Step 5: Solve for x
    x = 35,947,628.01/6,475.80
  6. Step 6: Final answer
    x = 5,551.07

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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.