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Finding the Fourth Proportional to 9,544.23, 13,171.05 and 5,295.29

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Solution

The fourth proportional to 9,544.23, 13,171.05 and 5,295.29 is: 7,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.23 : 13,171.05 = 5,295.29 : x
  2. Step 2: Convert to fraction form
    9,544.23/13,171.05 = 5,295.29/x
  3. Step 3: Cross multiply
    9,544.23x = 13,171.05 × 5,295.29
  4. Step 4: Simplify right side
    9,544.23x = 69,744,529.35
  5. Step 5: Solve for x
    x = 69,744,529.35/9,544.23
  6. Step 6: Final answer
    x = 7,307.51

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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.