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Finding the Fourth Proportional to 9,402.17, 14,104.74 and 3,779.82

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Solution

The fourth proportional to 9,402.17, 14,104.74 and 3,779.82 is: 5,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.17 : 14,104.74 = 3,779.82 : x
  2. Step 2: Convert to fraction form
    9,402.17/14,104.74 = 3,779.82/x
  3. Step 3: Cross multiply
    9,402.17x = 14,104.74 × 3,779.82
  4. Step 4: Simplify right side
    9,402.17x = 53,313,378.35
  5. Step 5: Solve for x
    x = 53,313,378.35/9,402.17
  6. Step 6: Final answer
    x = 5,670.33

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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.