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Finding the Fourth Proportional to 9,090.72, 12,544.74 and 5,111.73

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Solution

The fourth proportional to 9,090.72, 12,544.74 and 5,111.73 is: 7,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.72 : 12,544.74 = 5,111.73 : x
  2. Step 2: Convert to fraction form
    9,090.72/12,544.74 = 5,111.73/x
  3. Step 3: Cross multiply
    9,090.72x = 12,544.74 × 5,111.73
  4. Step 4: Simplify right side
    9,090.72x = 64,125,323.80
  5. Step 5: Solve for x
    x = 64,125,323.80/9,090.72
  6. Step 6: Final answer
    x = 7,053.93

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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.