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Finding the Fourth Proportional to 9,346.95, 14,026.25 and 6,229.14

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Solution

The fourth proportional to 9,346.95, 14,026.25 and 6,229.14 is: 9,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.95 : 14,026.25 = 6,229.14 : x
  2. Step 2: Convert to fraction form
    9,346.95/14,026.25 = 6,229.14/x
  3. Step 3: Cross multiply
    9,346.95x = 14,026.25 × 6,229.14
  4. Step 4: Simplify right side
    9,346.95x = 87,371,490.50
  5. Step 5: Solve for x
    x = 87,371,490.50/9,346.95
  6. Step 6: Final answer
    x = 9,347.59

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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.