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Finding the Fourth Proportional to 9,571.76, 14,355.43 and 3,649.32

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Solution

The fourth proportional to 9,571.76, 14,355.43 and 3,649.32 is: 5,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.76 : 14,355.43 = 3,649.32 : x
  2. Step 2: Convert to fraction form
    9,571.76/14,355.43 = 3,649.32/x
  3. Step 3: Cross multiply
    9,571.76x = 14,355.43 × 3,649.32
  4. Step 4: Simplify right side
    9,571.76x = 52,387,557.81
  5. Step 5: Solve for x
    x = 52,387,557.81/9,571.76
  6. Step 6: Final answer
    x = 5,473.14

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Why These Related Problems?

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