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Finding the Fourth Proportional to 9,535.54, 13,159.36 and 5,286.54

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Solution

The fourth proportional to 9,535.54, 13,159.36 and 5,286.54 is: 7,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.54 : 13,159.36 = 5,286.54 : x
  2. Step 2: Convert to fraction form
    9,535.54/13,159.36 = 5,286.54/x
  3. Step 3: Cross multiply
    9,535.54x = 13,159.36 × 5,286.54
  4. Step 4: Simplify right side
    9,535.54x = 69,567,483.01
  5. Step 5: Solve for x
    x = 69,567,483.01/9,535.54
  6. Step 6: Final answer
    x = 7,295.60

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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.