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Finding the Fourth Proportional to 9,477.83, 14,205.20 and 6,705.30

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Solution

The fourth proportional to 9,477.83, 14,205.20 and 6,705.30 is: 10,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.83 : 14,205.20 = 6,705.30 : x
  2. Step 2: Convert to fraction form
    9,477.83/14,205.20 = 6,705.30/x
  3. Step 3: Cross multiply
    9,477.83x = 14,205.20 × 6,705.30
  4. Step 4: Simplify right side
    9,477.83x = 95,250,127.56
  5. Step 5: Solve for x
    x = 95,250,127.56/9,477.83
  6. Step 6: Final answer
    x = 10,049.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.