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Finding the Fourth Proportional to 9,894.33, 14,819.92 and 4,955.35

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Solution

The fourth proportional to 9,894.33, 14,819.92 and 4,955.35 is: 7,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.33 : 14,819.92 = 4,955.35 : x
  2. Step 2: Convert to fraction form
    9,894.33/14,819.92 = 4,955.35/x
  3. Step 3: Cross multiply
    9,894.33x = 14,819.92 × 4,955.35
  4. Step 4: Simplify right side
    9,894.33x = 73,437,890.57
  5. Step 5: Solve for x
    x = 73,437,890.57/9,894.33
  6. Step 6: Final answer
    x = 7,422.22

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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.