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Finding the Fourth Proportional to 9,535.96, 13,160.25 and 5,287.21

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Solution

The fourth proportional to 9,535.96, 13,160.25 and 5,287.21 is: 7,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.96 : 13,160.25 = 5,287.21 : x
  2. Step 2: Convert to fraction form
    9,535.96/13,160.25 = 5,287.21/x
  3. Step 3: Cross multiply
    9,535.96x = 13,160.25 × 5,287.21
  4. Step 4: Simplify right side
    9,535.96x = 69,581,005.40
  5. Step 5: Solve for x
    x = 69,581,005.40/9,535.96
  6. Step 6: Final answer
    x = 7,296.70

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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.