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Finding the Fourth Proportional to 9,762.08, 14,599.92 and 8,673.44

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Solution

The fourth proportional to 9,762.08, 14,599.92 and 8,673.44 is: 12,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.08 : 14,599.92 = 8,673.44 : x
  2. Step 2: Convert to fraction form
    9,762.08/14,599.92 = 8,673.44/x
  3. Step 3: Cross multiply
    9,762.08x = 14,599.92 × 8,673.44
  4. Step 4: Simplify right side
    9,762.08x = 126,631,530.12
  5. Step 5: Solve for x
    x = 126,631,530.12/9,762.08
  6. Step 6: Final answer
    x = 12,971.78

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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.