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Finding the Fourth Proportional to 6,277.20, 9,416.04 and 1,895.08

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Solution

The fourth proportional to 6,277.20, 9,416.04 and 1,895.08 is: 2,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.20 : 9,416.04 = 1,895.08 : x
  2. Step 2: Convert to fraction form
    6,277.20/9,416.04 = 1,895.08/x
  3. Step 3: Cross multiply
    6,277.20x = 9,416.04 × 1,895.08
  4. Step 4: Simplify right side
    6,277.20x = 17,844,149.08
  5. Step 5: Solve for x
    x = 17,844,149.08/6,277.20
  6. Step 6: Final answer
    x = 2,842.69

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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.