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Finding the Fourth Proportional to 9,379.88, 14,071.84 and 2,806.60

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Solution

The fourth proportional to 9,379.88, 14,071.84 and 2,806.60 is: 4,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.88 : 14,071.84 = 2,806.60 : x
  2. Step 2: Convert to fraction form
    9,379.88/14,071.84 = 2,806.60/x
  3. Step 3: Cross multiply
    9,379.88x = 14,071.84 × 2,806.60
  4. Step 4: Simplify right side
    9,379.88x = 39,494,026.14
  5. Step 5: Solve for x
    x = 39,494,026.14/9,379.88
  6. Step 6: Final answer
    x = 4,210.50

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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.