Home / 9,214.84-13,822.35-2,289.34

Finding the Fourth Proportional to 9,214.84, 13,822.35 and 2,289.34

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Solution

The fourth proportional to 9,214.84, 13,822.35 and 2,289.34 is: 3,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.84 : 13,822.35 = 2,289.34 : x
  2. Step 2: Convert to fraction form
    9,214.84/13,822.35 = 2,289.34/x
  3. Step 3: Cross multiply
    9,214.84x = 13,822.35 × 2,289.34
  4. Step 4: Simplify right side
    9,214.84x = 31,644,058.75
  5. Step 5: Solve for x
    x = 31,644,058.75/9,214.84
  6. Step 6: Final answer
    x = 3,434.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.