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Finding the Fourth Proportional to 6,506.70, 9,753.57 and 3,730.02

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Solution

The fourth proportional to 6,506.70, 9,753.57 and 3,730.02 is: 5,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.70 : 9,753.57 = 3,730.02 : x
  2. Step 2: Convert to fraction form
    6,506.70/9,753.57 = 3,730.02/x
  3. Step 3: Cross multiply
    6,506.70x = 9,753.57 × 3,730.02
  4. Step 4: Simplify right side
    6,506.70x = 36,381,011.17
  5. Step 5: Solve for x
    x = 36,381,011.17/6,506.70
  6. Step 6: Final answer
    x = 5,591.32

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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.