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Finding the Fourth Proportional to 9,187.98, 13,779.90 and 2,614.02

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Solution

The fourth proportional to 9,187.98, 13,779.90 and 2,614.02 is: 3,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.98 : 13,779.90 = 2,614.02 : x
  2. Step 2: Convert to fraction form
    9,187.98/13,779.90 = 2,614.02/x
  3. Step 3: Cross multiply
    9,187.98x = 13,779.90 × 2,614.02
  4. Step 4: Simplify right side
    9,187.98x = 36,020,934.20
  5. Step 5: Solve for x
    x = 36,020,934.20/9,187.98
  6. Step 6: Final answer
    x = 3,920.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.