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Finding the Fourth Proportional to 9,400.80, 14,111.46 and 6,927.96

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Solution

The fourth proportional to 9,400.80, 14,111.46 and 6,927.96 is: 10,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.80 : 14,111.46 = 6,927.96 : x
  2. Step 2: Convert to fraction form
    9,400.80/14,111.46 = 6,927.96/x
  3. Step 3: Cross multiply
    9,400.80x = 14,111.46 × 6,927.96
  4. Step 4: Simplify right side
    9,400.80x = 97,763,630.42
  5. Step 5: Solve for x
    x = 97,763,630.42/9,400.80
  6. Step 6: Final answer
    x = 10,399.50

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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.