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Finding the Fourth Proportional to 9,625.50, 13,283.19 and 5,433.75

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Solution

The fourth proportional to 9,625.50, 13,283.19 and 5,433.75 is: 7,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.50 : 13,283.19 = 5,433.75 : x
  2. Step 2: Convert to fraction form
    9,625.50/13,283.19 = 5,433.75/x
  3. Step 3: Cross multiply
    9,625.50x = 13,283.19 × 5,433.75
  4. Step 4: Simplify right side
    9,625.50x = 72,177,533.66
  5. Step 5: Solve for x
    x = 72,177,533.66/9,625.50
  6. Step 6: Final answer
    x = 7,498.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.