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Finding the Fourth Proportional to 9,053.10, 12,493.23 and 5,074.21

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Solution

The fourth proportional to 9,053.10, 12,493.23 and 5,074.21 is: 7,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.10 : 12,493.23 = 5,074.21 : x
  2. Step 2: Convert to fraction form
    9,053.10/12,493.23 = 5,074.21/x
  3. Step 3: Cross multiply
    9,053.10x = 12,493.23 × 5,074.21
  4. Step 4: Simplify right side
    9,053.10x = 63,393,241.37
  5. Step 5: Solve for x
    x = 63,393,241.37/9,053.10
  6. Step 6: Final answer
    x = 7,002.38

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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.