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Finding the Fourth Proportional to 9,212.66, 13,823.88 and 4,018.94

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Solution

The fourth proportional to 9,212.66, 13,823.88 and 4,018.94 is: 6,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.66 : 13,823.88 = 4,018.94 : x
  2. Step 2: Convert to fraction form
    9,212.66/13,823.88 = 4,018.94/x
  3. Step 3: Cross multiply
    9,212.66x = 13,823.88 × 4,018.94
  4. Step 4: Simplify right side
    9,212.66x = 55,557,344.29
  5. Step 5: Solve for x
    x = 55,557,344.29/9,212.66
  6. Step 6: Final answer
    x = 6,030.54

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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.