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Finding the Fourth Proportional to 9,214.59, 13,827.30 and 4,019.79

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Solution

The fourth proportional to 9,214.59, 13,827.30 and 4,019.79 is: 6,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.59 : 13,827.30 = 4,019.79 : x
  2. Step 2: Convert to fraction form
    9,214.59/13,827.30 = 4,019.79/x
  3. Step 3: Cross multiply
    9,214.59x = 13,827.30 × 4,019.79
  4. Step 4: Simplify right side
    9,214.59x = 55,582,842.27
  5. Step 5: Solve for x
    x = 55,582,842.27/9,214.59
  6. Step 6: Final answer
    x = 6,032.05

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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.