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Finding the Fourth Proportional to 9,535.70, 14,200.26 and 9,371.54

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Solution

The fourth proportional to 9,535.70, 14,200.26 and 9,371.54 is: 13,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.70 : 14,200.26 = 9,371.54 : x
  2. Step 2: Convert to fraction form
    9,535.70/14,200.26 = 9,371.54/x
  3. Step 3: Cross multiply
    9,535.70x = 14,200.26 × 9,371.54
  4. Step 4: Simplify right side
    9,535.70x = 133,078,304.60
  5. Step 5: Solve for x
    x = 133,078,304.60/9,535.70
  6. Step 6: Final answer
    x = 13,955.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.