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Finding the Fourth Proportional to 9,758.04, 13,467.24 and 9,451.86

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Solution

The fourth proportional to 9,758.04, 13,467.24 and 9,451.86 is: 13,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.04 : 13,467.24 = 9,451.86 : x
  2. Step 2: Convert to fraction form
    9,758.04/13,467.24 = 9,451.86/x
  3. Step 3: Cross multiply
    9,758.04x = 13,467.24 × 9,451.86
  4. Step 4: Simplify right side
    9,758.04x = 127,290,467.07
  5. Step 5: Solve for x
    x = 127,290,467.07/9,758.04
  6. Step 6: Final answer
    x = 13,044.68

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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.