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Finding the Fourth Proportional to 6,500.61, 9,761.72 and 6,500.61

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Solution

The fourth proportional to 6,500.61, 9,761.72 and 6,500.61 is: 9,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.61 : 9,761.72 = 6,500.61 : x
  2. Step 2: Convert to fraction form
    6,500.61/9,761.72 = 6,500.61/x
  3. Step 3: Cross multiply
    6,500.61x = 9,761.72 × 6,500.61
  4. Step 4: Simplify right side
    6,500.61x = 63,457,102.15
  5. Step 5: Solve for x
    x = 63,457,102.15/6,500.61
  6. Step 6: Final answer
    x = 9,761.72

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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.