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Finding the Fourth Proportional to 9,291.70, 12,820.57 and 5,516.29

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Solution

The fourth proportional to 9,291.70, 12,820.57 and 5,516.29 is: 7,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.70 : 12,820.57 = 5,516.29 : x
  2. Step 2: Convert to fraction form
    9,291.70/12,820.57 = 5,516.29/x
  3. Step 3: Cross multiply
    9,291.70x = 12,820.57 × 5,516.29
  4. Step 4: Simplify right side
    9,291.70x = 70,721,982.09
  5. Step 5: Solve for x
    x = 70,721,982.09/9,291.70
  6. Step 6: Final answer
    x = 7,611.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.