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Finding the Fourth Proportional to 9,804.08, 14,708.60 and 2,784.11

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Solution

The fourth proportional to 9,804.08, 14,708.60 and 2,784.11 is: 4,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.08 : 14,708.60 = 2,784.11 : x
  2. Step 2: Convert to fraction form
    9,804.08/14,708.60 = 2,784.11/x
  3. Step 3: Cross multiply
    9,804.08x = 14,708.60 × 2,784.11
  4. Step 4: Simplify right side
    9,804.08x = 40,950,272.88
  5. Step 5: Solve for x
    x = 40,950,272.88/9,804.08
  6. Step 6: Final answer
    x = 4,176.86

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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.