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Finding the Fourth Proportional to 9,354.08, 12,907.44 and 5,162.06

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Solution

The fourth proportional to 9,354.08, 12,907.44 and 5,162.06 is: 7,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.08 : 12,907.44 = 5,162.06 : x
  2. Step 2: Convert to fraction form
    9,354.08/12,907.44 = 5,162.06/x
  3. Step 3: Cross multiply
    9,354.08x = 12,907.44 × 5,162.06
  4. Step 4: Simplify right side
    9,354.08x = 66,628,979.73
  5. Step 5: Solve for x
    x = 66,628,979.73/9,354.08
  6. Step 6: Final answer
    x = 7,122.99

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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.