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Finding the Fourth Proportional to 9,462, 14,193.06 and 3,306

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Solution

The fourth proportional to 9,462, 14,193.06 and 3,306 is: 4,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462 : 14,193.06 = 3,306 : x
  2. Step 2: Convert to fraction form
    9,462/14,193.06 = 3,306/x
  3. Step 3: Cross multiply
    9,462x = 14,193.06 × 3,306
  4. Step 4: Simplify right side
    9,462x = 46,922,256.36
  5. Step 5: Solve for x
    x = 46,922,256.36/9,462
  6. Step 6: Final answer
    x = 4,959.02

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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.