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Finding the Fourth Proportional to 7,178.03, 9,906 and 4,193.45

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Solution

The fourth proportional to 7,178.03, 9,906 and 4,193.45 is: 5,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.03 : 9,906 = 4,193.45 : x
  2. Step 2: Convert to fraction form
    7,178.03/9,906 = 4,193.45/x
  3. Step 3: Cross multiply
    7,178.03x = 9,906 × 4,193.45
  4. Step 4: Simplify right side
    7,178.03x = 41,540,315.70
  5. Step 5: Solve for x
    x = 41,540,315.70/7,178.03
  6. Step 6: Final answer
    x = 5,787.15

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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.