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Finding the Fourth Proportional to 9,873.86, 14,803.80 and 4,939.96

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Solution

The fourth proportional to 9,873.86, 14,803.80 and 4,939.96 is: 7,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.86 : 14,803.80 = 4,939.96 : x
  2. Step 2: Convert to fraction form
    9,873.86/14,803.80 = 4,939.96/x
  3. Step 3: Cross multiply
    9,873.86x = 14,803.80 × 4,939.96
  4. Step 4: Simplify right side
    9,873.86x = 73,130,179.85
  5. Step 5: Solve for x
    x = 73,130,179.85/9,873.86
  6. Step 6: Final answer
    x = 7,406.44

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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.