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Finding the Fourth Proportional to 9,837.69, 14,751.12 and 6,721.21

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Solution

The fourth proportional to 9,837.69, 14,751.12 and 6,721.21 is: 10,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.69 : 14,751.12 = 6,721.21 : x
  2. Step 2: Convert to fraction form
    9,837.69/14,751.12 = 6,721.21/x
  3. Step 3: Cross multiply
    9,837.69x = 14,751.12 × 6,721.21
  4. Step 4: Simplify right side
    9,837.69x = 99,145,412.13
  5. Step 5: Solve for x
    x = 99,145,412.13/9,837.69
  6. Step 6: Final answer
    x = 10,078.12

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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.