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Finding the Fourth Proportional to 9,680.99, 14,496.84 and 6,761.34

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Solution

The fourth proportional to 9,680.99, 14,496.84 and 6,761.34 is: 10,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.99 : 14,496.84 = 6,761.34 : x
  2. Step 2: Convert to fraction form
    9,680.99/14,496.84 = 6,761.34/x
  3. Step 3: Cross multiply
    9,680.99x = 14,496.84 × 6,761.34
  4. Step 4: Simplify right side
    9,680.99x = 98,018,064.17
  5. Step 5: Solve for x
    x = 98,018,064.17/9,680.99
  6. Step 6: Final answer
    x = 10,124.80

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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.