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Finding the Fourth Proportional to 6,485.24, 9,737.54 and 3,715.04

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Solution

The fourth proportional to 6,485.24, 9,737.54 and 3,715.04 is: 5,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.24 : 9,737.54 = 3,715.04 : x
  2. Step 2: Convert to fraction form
    6,485.24/9,737.54 = 3,715.04/x
  3. Step 3: Cross multiply
    6,485.24x = 9,737.54 × 3,715.04
  4. Step 4: Simplify right side
    6,485.24x = 36,175,350.60
  5. Step 5: Solve for x
    x = 36,175,350.60/6,485.24
  6. Step 6: Final answer
    x = 5,578.11

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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.