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Finding the Fourth Proportional to 9,649.84, 14,458.22 and 5,270.36

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Solution

The fourth proportional to 9,649.84, 14,458.22 and 5,270.36 is: 7,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.84 : 14,458.22 = 5,270.36 : x
  2. Step 2: Convert to fraction form
    9,649.84/14,458.22 = 5,270.36/x
  3. Step 3: Cross multiply
    9,649.84x = 14,458.22 × 5,270.36
  4. Step 4: Simplify right side
    9,649.84x = 76,200,024.36
  5. Step 5: Solve for x
    x = 76,200,024.36/9,649.84
  6. Step 6: Final answer
    x = 7,896.51

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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.