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Finding the Fourth Proportional to 9,297.51, 12,824.73 and 5,518.01

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Solution

The fourth proportional to 9,297.51, 12,824.73 and 5,518.01 is: 7,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.51 : 12,824.73 = 5,518.01 : x
  2. Step 2: Convert to fraction form
    9,297.51/12,824.73 = 5,518.01/x
  3. Step 3: Cross multiply
    9,297.51x = 12,824.73 × 5,518.01
  4. Step 4: Simplify right side
    9,297.51x = 70,766,988.39
  5. Step 5: Solve for x
    x = 70,766,988.39/9,297.51
  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.