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Finding the Fourth Proportional to 9,463.30, 13,058.84 and 5,214.22

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Solution

The fourth proportional to 9,463.30, 13,058.84 and 5,214.22 is: 7,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.30 : 13,058.84 = 5,214.22 : x
  2. Step 2: Convert to fraction form
    9,463.30/13,058.84 = 5,214.22/x
  3. Step 3: Cross multiply
    9,463.30x = 13,058.84 × 5,214.22
  4. Step 4: Simplify right side
    9,463.30x = 68,091,664.70
  5. Step 5: Solve for x
    x = 68,091,664.70/9,463.30
  6. Step 6: Final answer
    x = 7,195.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.