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Finding the Fourth Proportional to 9,885.19, 14,833.64 and 3,649.55

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Solution

The fourth proportional to 9,885.19, 14,833.64 and 3,649.55 is: 5,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.19 : 14,833.64 = 3,649.55 : x
  2. Step 2: Convert to fraction form
    9,885.19/14,833.64 = 3,649.55/x
  3. Step 3: Cross multiply
    9,885.19x = 14,833.64 × 3,649.55
  4. Step 4: Simplify right side
    9,885.19x = 54,136,110.86
  5. Step 5: Solve for x
    x = 54,136,110.86/9,885.19
  6. Step 6: Final answer
    x = 5,476.49

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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.