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Finding the Fourth Proportional to 9,959.84, 14,939.75 and 3,034.34

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Solution

The fourth proportional to 9,959.84, 14,939.75 and 3,034.34 is: 4,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.84 : 14,939.75 = 3,034.34 : x
  2. Step 2: Convert to fraction form
    9,959.84/14,939.75 = 3,034.34/x
  3. Step 3: Cross multiply
    9,959.84x = 14,939.75 × 3,034.34
  4. Step 4: Simplify right side
    9,959.84x = 45,332,232.18
  5. Step 5: Solve for x
    x = 45,332,232.18/9,959.84
  6. Step 6: Final answer
    x = 4,551.50

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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.