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Finding the Fourth Proportional to 9,863.88, 14,784.48 and 4,014.12

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Solution

The fourth proportional to 9,863.88, 14,784.48 and 4,014.12 is: 6,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.88 : 14,784.48 = 4,014.12 : x
  2. Step 2: Convert to fraction form
    9,863.88/14,784.48 = 4,014.12/x
  3. Step 3: Cross multiply
    9,863.88x = 14,784.48 × 4,014.12
  4. Step 4: Simplify right side
    9,863.88x = 59,346,676.86
  5. Step 5: Solve for x
    x = 59,346,676.86/9,863.88
  6. Step 6: Final answer
    x = 6,016.57

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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.