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Finding the Fourth Proportional to 9,930.36, 14,902.74 and 8,005.80

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Solution

The fourth proportional to 9,930.36, 14,902.74 and 8,005.80 is: 12,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.36 : 14,902.74 = 8,005.80 : x
  2. Step 2: Convert to fraction form
    9,930.36/14,902.74 = 8,005.80/x
  3. Step 3: Cross multiply
    9,930.36x = 14,902.74 × 8,005.80
  4. Step 4: Simplify right side
    9,930.36x = 119,308,355.89
  5. Step 5: Solve for x
    x = 119,308,355.89/9,930.36
  6. Step 6: Final answer
    x = 12,014.50

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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.