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Finding the Fourth Proportional to 9,448.08, 14,175 and 6,821.52

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Solution

The fourth proportional to 9,448.08, 14,175 and 6,821.52 is: 10,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.08 : 14,175 = 6,821.52 : x
  2. Step 2: Convert to fraction form
    9,448.08/14,175 = 6,821.52/x
  3. Step 3: Cross multiply
    9,448.08x = 14,175 × 6,821.52
  4. Step 4: Simplify right side
    9,448.08x = 96,695,046
  5. Step 5: Solve for x
    x = 96,695,046/9,448.08
  6. Step 6: Final answer
    x = 10,234.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.