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Finding the Fourth Proportional to 9,127.16, 12,595.68 and 5,542.22

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Solution

The fourth proportional to 9,127.16, 12,595.68 and 5,542.22 is: 7,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.16 : 12,595.68 = 5,542.22 : x
  2. Step 2: Convert to fraction form
    9,127.16/12,595.68 = 5,542.22/x
  3. Step 3: Cross multiply
    9,127.16x = 12,595.68 × 5,542.22
  4. Step 4: Simplify right side
    9,127.16x = 69,808,029.61
  5. Step 5: Solve for x
    x = 69,808,029.61/9,127.16
  6. Step 6: Final answer
    x = 7,648.38

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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.