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Finding the Fourth Proportional to 9,707.25, 13,396.01 and 5,515.50

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Solution

The fourth proportional to 9,707.25, 13,396.01 and 5,515.50 is: 7,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.25 : 13,396.01 = 5,515.50 : x
  2. Step 2: Convert to fraction form
    9,707.25/13,396.01 = 5,515.50/x
  3. Step 3: Cross multiply
    9,707.25x = 13,396.01 × 5,515.50
  4. Step 4: Simplify right side
    9,707.25x = 73,885,665.58
  5. Step 5: Solve for x
    x = 73,885,665.58/9,707.25
  6. Step 6: Final answer
    x = 7,611.39

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Why These Related Problems?

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