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Finding the Fourth Proportional to 9,134.06, 12,605.03 and 4,942.31

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Solution

The fourth proportional to 9,134.06, 12,605.03 and 4,942.31 is: 6,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.06 : 12,605.03 = 4,942.31 : x
  2. Step 2: Convert to fraction form
    9,134.06/12,605.03 = 4,942.31/x
  3. Step 3: Cross multiply
    9,134.06x = 12,605.03 × 4,942.31
  4. Step 4: Simplify right side
    9,134.06x = 62,297,878.08
  5. Step 5: Solve for x
    x = 62,297,878.08/9,134.06
  6. Step 6: Final answer
    x = 6,820.40

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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.