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Finding the Fourth Proportional to 9,187.50, 13,779.38 and 2,611.92

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Solution

The fourth proportional to 9,187.50, 13,779.38 and 2,611.92 is: 3,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.50 : 13,779.38 = 2,611.92 : x
  2. Step 2: Convert to fraction form
    9,187.50/13,779.38 = 2,611.92/x
  3. Step 3: Cross multiply
    9,187.50x = 13,779.38 × 2,611.92
  4. Step 4: Simplify right side
    9,187.50x = 35,990,696.41
  5. Step 5: Solve for x
    x = 35,990,696.41/9,187.50
  6. Step 6: Final answer
    x = 3,917.35

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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.