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Finding the Fourth Proportional to 9,758.74, 13,467.16 and 5,929.27

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Solution

The fourth proportional to 9,758.74, 13,467.16 and 5,929.27 is: 8,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.74 : 13,467.16 = 5,929.27 : x
  2. Step 2: Convert to fraction form
    9,758.74/13,467.16 = 5,929.27/x
  3. Step 3: Cross multiply
    9,758.74x = 13,467.16 × 5,929.27
  4. Step 4: Simplify right side
    9,758.74x = 79,850,427.77
  5. Step 5: Solve for x
    x = 79,850,427.77/9,758.74
  6. Step 6: Final answer
    x = 8,182.45

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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.