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Finding the Fourth Proportional to 9,803.94, 14,695.85 and 3,878.46

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Solution

The fourth proportional to 9,803.94, 14,695.85 and 3,878.46 is: 5,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.94 : 14,695.85 = 3,878.46 : x
  2. Step 2: Convert to fraction form
    9,803.94/14,695.85 = 3,878.46/x
  3. Step 3: Cross multiply
    9,803.94x = 14,695.85 × 3,878.46
  4. Step 4: Simplify right side
    9,803.94x = 56,997,247.00
  5. Step 5: Solve for x
    x = 56,997,247.00/9,803.94
  6. Step 6: Final answer
    x = 5,813.71

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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.