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Finding the Fourth Proportional to 6,487.16, 9,730.38 and 5,765

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Solution

The fourth proportional to 6,487.16, 9,730.38 and 5,765 is: 8,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.16 : 9,730.38 = 5,765 : x
  2. Step 2: Convert to fraction form
    6,487.16/9,730.38 = 5,765/x
  3. Step 3: Cross multiply
    6,487.16x = 9,730.38 × 5,765
  4. Step 4: Simplify right side
    6,487.16x = 56,095,640.70
  5. Step 5: Solve for x
    x = 56,095,640.70/6,487.16
  6. Step 6: Final answer
    x = 8,647.18

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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.