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Finding the Fourth Proportional to 9,214.94, 13,822.41 and 3,058.94

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Solution

The fourth proportional to 9,214.94, 13,822.41 and 3,058.94 is: 4,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.94 : 13,822.41 = 3,058.94 : x
  2. Step 2: Convert to fraction form
    9,214.94/13,822.41 = 3,058.94/x
  3. Step 3: Cross multiply
    9,214.94x = 13,822.41 × 3,058.94
  4. Step 4: Simplify right side
    9,214.94x = 42,281,922.85
  5. Step 5: Solve for x
    x = 42,281,922.85/9,214.94
  6. Step 6: Final answer
    x = 4,588.41

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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.