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Finding the Fourth Proportional to 9,970.34, 14,947.44 and 3,729.46

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Solution

The fourth proportional to 9,970.34, 14,947.44 and 3,729.46 is: 5,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.34 : 14,947.44 = 3,729.46 : x
  2. Step 2: Convert to fraction form
    9,970.34/14,947.44 = 3,729.46/x
  3. Step 3: Cross multiply
    9,970.34x = 14,947.44 × 3,729.46
  4. Step 4: Simplify right side
    9,970.34x = 55,745,879.58
  5. Step 5: Solve for x
    x = 55,745,879.58/9,970.34
  6. Step 6: Final answer
    x = 5,591.17

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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.