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Finding the Fourth Proportional to 9,505.53, 14,258.29 and 5,150.66

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Solution

The fourth proportional to 9,505.53, 14,258.29 and 5,150.66 is: 7,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.53 : 14,258.29 = 5,150.66 : x
  2. Step 2: Convert to fraction form
    9,505.53/14,258.29 = 5,150.66/x
  3. Step 3: Cross multiply
    9,505.53x = 14,258.29 × 5,150.66
  4. Step 4: Simplify right side
    9,505.53x = 73,439,603.97
  5. Step 5: Solve for x
    x = 73,439,603.97/9,505.53
  6. Step 6: Final answer
    x = 7,725.99

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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.