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Finding the Fourth Proportional to 9,758.54, 13,453.40 and 6,171.71

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Solution

The fourth proportional to 9,758.54, 13,453.40 and 6,171.71 is: 8,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.54 : 13,453.40 = 6,171.71 : x
  2. Step 2: Convert to fraction form
    9,758.54/13,453.40 = 6,171.71/x
  3. Step 3: Cross multiply
    9,758.54x = 13,453.40 × 6,171.71
  4. Step 4: Simplify right side
    9,758.54x = 83,030,385.19
  5. Step 5: Solve for x
    x = 83,030,385.19/9,758.54
  6. Step 6: Final answer
    x = 8,508.49

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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.