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Finding the Fourth Proportional to 9,800.41, 14,701.18 and 2,779.88

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Solution

The fourth proportional to 9,800.41, 14,701.18 and 2,779.88 is: 4,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.41 : 14,701.18 = 2,779.88 : x
  2. Step 2: Convert to fraction form
    9,800.41/14,701.18 = 2,779.88/x
  3. Step 3: Cross multiply
    9,800.41x = 14,701.18 × 2,779.88
  4. Step 4: Simplify right side
    9,800.41x = 40,867,516.26
  5. Step 5: Solve for x
    x = 40,867,516.26/9,800.41
  6. Step 6: Final answer
    x = 4,169.98

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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.