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Finding the Fourth Proportional to 9,606.96, 14,409.92 and 2,943.45

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Solution

The fourth proportional to 9,606.96, 14,409.92 and 2,943.45 is: 4,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.96 : 14,409.92 = 2,943.45 : x
  2. Step 2: Convert to fraction form
    9,606.96/14,409.92 = 2,943.45/x
  3. Step 3: Cross multiply
    9,606.96x = 14,409.92 × 2,943.45
  4. Step 4: Simplify right side
    9,606.96x = 42,414,886.38
  5. Step 5: Solve for x
    x = 42,414,886.38/9,606.96
  6. Step 6: Final answer
    x = 4,415.02

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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.