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Finding the Fourth Proportional to 9,156.38, 13,729.66 and 2,914.70

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Solution

The fourth proportional to 9,156.38, 13,729.66 and 2,914.70 is: 4,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.38 : 13,729.66 = 2,914.70 : x
  2. Step 2: Convert to fraction form
    9,156.38/13,729.66 = 2,914.70/x
  3. Step 3: Cross multiply
    9,156.38x = 13,729.66 × 2,914.70
  4. Step 4: Simplify right side
    9,156.38x = 40,017,840.00
  5. Step 5: Solve for x
    x = 40,017,840.00/9,156.38
  6. Step 6: Final answer
    x = 4,370.49

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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.