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Finding the Fourth Proportional to 9,089.34, 12,542.22 and 5,110.23

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Solution

The fourth proportional to 9,089.34, 12,542.22 and 5,110.23 is: 7,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.34 : 12,542.22 = 5,110.23 : x
  2. Step 2: Convert to fraction form
    9,089.34/12,542.22 = 5,110.23/x
  3. Step 3: Cross multiply
    9,089.34x = 12,542.22 × 5,110.23
  4. Step 4: Simplify right side
    9,089.34x = 64,093,628.91
  5. Step 5: Solve for x
    x = 64,093,628.91/9,089.34
  6. Step 6: Final answer
    x = 7,051.52

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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.