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Finding the Fourth Proportional to 9,497.00, 14,241.38 and 3,649.50

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Solution

The fourth proportional to 9,497.00, 14,241.38 and 3,649.50 is: 5,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.00 : 14,241.38 = 3,649.50 : x
  2. Step 2: Convert to fraction form
    9,497.00/14,241.38 = 3,649.50/x
  3. Step 3: Cross multiply
    9,497.00x = 14,241.38 × 3,649.50
  4. Step 4: Simplify right side
    9,497.00x = 51,973,898.06
  5. Step 5: Solve for x
    x = 51,973,898.06/9,497.00
  6. Step 6: Final answer
    x = 5,472.66

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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.