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Finding the Fourth Proportional to 9,845.53, 13,656.46 and 9,490.90

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Solution

The fourth proportional to 9,845.53, 13,656.46 and 9,490.90 is: 13,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.53 : 13,656.46 = 9,490.90 : x
  2. Step 2: Convert to fraction form
    9,845.53/13,656.46 = 9,490.90/x
  3. Step 3: Cross multiply
    9,845.53x = 13,656.46 × 9,490.90
  4. Step 4: Simplify right side
    9,845.53x = 129,612,096.21
  5. Step 5: Solve for x
    x = 129,612,096.21/9,845.53
  6. Step 6: Final answer
    x = 13,164.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.