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Finding the Fourth Proportional to 9,746.67, 14,611.17 and 3,505.20

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Solution

The fourth proportional to 9,746.67, 14,611.17 and 3,505.20 is: 5,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.67 : 14,611.17 = 3,505.20 : x
  2. Step 2: Convert to fraction form
    9,746.67/14,611.17 = 3,505.20/x
  3. Step 3: Cross multiply
    9,746.67x = 14,611.17 × 3,505.20
  4. Step 4: Simplify right side
    9,746.67x = 51,215,073.08
  5. Step 5: Solve for x
    x = 51,215,073.08/9,746.67
  6. Step 6: Final answer
    x = 5,254.62

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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.