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Finding the Fourth Proportional to 6,284.79, 9,430.23 and 2,774.37

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Solution

The fourth proportional to 6,284.79, 9,430.23 and 2,774.37 is: 4,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.79 : 9,430.23 = 2,774.37 : x
  2. Step 2: Convert to fraction form
    6,284.79/9,430.23 = 2,774.37/x
  3. Step 3: Cross multiply
    6,284.79x = 9,430.23 × 2,774.37
  4. Step 4: Simplify right side
    6,284.79x = 26,162,947.21
  5. Step 5: Solve for x
    x = 26,162,947.21/6,284.79
  6. Step 6: Final answer
    x = 4,162.90

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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.