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Finding the Fourth Proportional to 9,354.36, 12,907.62 and 6,000.24

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Solution

The fourth proportional to 9,354.36, 12,907.62 and 6,000.24 is: 8,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.36 : 12,907.62 = 6,000.24 : x
  2. Step 2: Convert to fraction form
    9,354.36/12,907.62 = 6,000.24/x
  3. Step 3: Cross multiply
    9,354.36x = 12,907.62 × 6,000.24
  4. Step 4: Simplify right side
    9,354.36x = 77,448,817.83
  5. Step 5: Solve for x
    x = 77,448,817.83/9,354.36
  6. Step 6: Final answer
    x = 8,279.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.