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Finding the Fourth Proportional to 7,074.27, 9,764.73 and 4,835.32

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Solution

The fourth proportional to 7,074.27, 9,764.73 and 4,835.32 is: 6,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.27 : 9,764.73 = 4,835.32 : x
  2. Step 2: Convert to fraction form
    7,074.27/9,764.73 = 4,835.32/x
  3. Step 3: Cross multiply
    7,074.27x = 9,764.73 × 4,835.32
  4. Step 4: Simplify right side
    7,074.27x = 47,215,569.85
  5. Step 5: Solve for x
    x = 47,215,569.85/7,074.27
  6. Step 6: Final answer
    x = 6,674.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.