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Finding the Fourth Proportional to 9,817.44, 14,726.16 and 6,908.80

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Solution

The fourth proportional to 9,817.44, 14,726.16 and 6,908.80 is: 10,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.44 : 14,726.16 = 6,908.80 : x
  2. Step 2: Convert to fraction form
    9,817.44/14,726.16 = 6,908.80/x
  3. Step 3: Cross multiply
    9,817.44x = 14,726.16 × 6,908.80
  4. Step 4: Simplify right side
    9,817.44x = 101,740,094.21
  5. Step 5: Solve for x
    x = 101,740,094.21/9,817.44
  6. Step 6: Final answer
    x = 10,363.20

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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.