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Finding the Fourth Proportional to 9,400.42, 14,072.94 and 6,946.19

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Solution

The fourth proportional to 9,400.42, 14,072.94 and 6,946.19 is: 10,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.42 : 14,072.94 = 6,946.19 : x
  2. Step 2: Convert to fraction form
    9,400.42/14,072.94 = 6,946.19/x
  3. Step 3: Cross multiply
    9,400.42x = 14,072.94 × 6,946.19
  4. Step 4: Simplify right side
    9,400.42x = 97,753,297.51
  5. Step 5: Solve for x
    x = 97,753,297.51/9,400.42
  6. Step 6: Final answer
    x = 10,398.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.