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Finding the Fourth Proportional to 9,959.28, 14,931.98 and 4,409.61

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Solution

The fourth proportional to 9,959.28, 14,931.98 and 4,409.61 is: 6,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.28 : 14,931.98 = 4,409.61 : x
  2. Step 2: Convert to fraction form
    9,959.28/14,931.98 = 4,409.61/x
  3. Step 3: Cross multiply
    9,959.28x = 14,931.98 × 4,409.61
  4. Step 4: Simplify right side
    9,959.28x = 65,844,208.33
  5. Step 5: Solve for x
    x = 65,844,208.33/9,959.28
  6. Step 6: Final answer
    x = 6,611.34

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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.