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Finding the Fourth Proportional to 9,883.58, 14,821.04 and 2,956.46

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Solution

The fourth proportional to 9,883.58, 14,821.04 and 2,956.46 is: 4,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.58 : 14,821.04 = 2,956.46 : x
  2. Step 2: Convert to fraction form
    9,883.58/14,821.04 = 2,956.46/x
  3. Step 3: Cross multiply
    9,883.58x = 14,821.04 × 2,956.46
  4. Step 4: Simplify right side
    9,883.58x = 43,817,745.20
  5. Step 5: Solve for x
    x = 43,817,745.20/9,883.58
  6. Step 6: Final answer
    x = 4,433.39

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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.