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Finding the Fourth Proportional to 9,103.74, 13,656.09 and 5,211.90

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Solution

The fourth proportional to 9,103.74, 13,656.09 and 5,211.90 is: 7,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.74 : 13,656.09 = 5,211.90 : x
  2. Step 2: Convert to fraction form
    9,103.74/13,656.09 = 5,211.90/x
  3. Step 3: Cross multiply
    9,103.74x = 13,656.09 × 5,211.90
  4. Step 4: Simplify right side
    9,103.74x = 71,174,175.47
  5. Step 5: Solve for x
    x = 71,174,175.47/9,103.74
  6. Step 6: Final answer
    x = 7,818.12

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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.