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Finding the Fourth Proportional to 10,380.70, 15,640.40 and 9,394.84

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Solution

The fourth proportional to 10,380.70, 15,640.40 and 9,394.84 is: 14,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.70 : 15,640.40 = 9,394.84 : x
  2. Step 2: Convert to fraction form
    10,380.70/15,640.40 = 9,394.84/x
  3. Step 3: Cross multiply
    10,380.70x = 15,640.40 × 9,394.84
  4. Step 4: Simplify right side
    10,380.70x = 146,939,055.54
  5. Step 5: Solve for x
    x = 146,939,055.54/10,380.70
  6. Step 6: Final answer
    x = 14,155.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.