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Finding the Fourth Proportional to 9,454.19, 14,182.83 and 3,214.76

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Solution

The fourth proportional to 9,454.19, 14,182.83 and 3,214.76 is: 4,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.19 : 14,182.83 = 3,214.76 : x
  2. Step 2: Convert to fraction form
    9,454.19/14,182.83 = 3,214.76/x
  3. Step 3: Cross multiply
    9,454.19x = 14,182.83 × 3,214.76
  4. Step 4: Simplify right side
    9,454.19x = 45,594,323.66
  5. Step 5: Solve for x
    x = 45,594,323.66/9,454.19
  6. Step 6: Final answer
    x = 4,822.66

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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.