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Finding the Fourth Proportional to 9,192.98, 12,603.67 and 9,026.90

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Solution

The fourth proportional to 9,192.98, 12,603.67 and 9,026.90 is: 12,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.98 : 12,603.67 = 9,026.90 : x
  2. Step 2: Convert to fraction form
    9,192.98/12,603.67 = 9,026.90/x
  3. Step 3: Cross multiply
    9,192.98x = 12,603.67 × 9,026.90
  4. Step 4: Simplify right side
    9,192.98x = 113,772,068.72
  5. Step 5: Solve for x
    x = 113,772,068.72/9,192.98
  6. Step 6: Final answer
    x = 12,375.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.