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Finding the Fourth Proportional to 9,535.94, 13,159.61 and 5,809.94

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Solution

The fourth proportional to 9,535.94, 13,159.61 and 5,809.94 is: 8,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.94 : 13,159.61 = 5,809.94 : x
  2. Step 2: Convert to fraction form
    9,535.94/13,159.61 = 5,809.94/x
  3. Step 3: Cross multiply
    9,535.94x = 13,159.61 × 5,809.94
  4. Step 4: Simplify right side
    9,535.94x = 76,456,544.52
  5. Step 5: Solve for x
    x = 76,456,544.52/9,535.94
  6. Step 6: Final answer
    x = 8,017.72

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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.