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Finding the Fourth Proportional to 7,074.70, 9,764.44 and 4,684.70

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Solution

The fourth proportional to 7,074.70, 9,764.44 and 4,684.70 is: 6,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.70 : 9,764.44 = 4,684.70 : x
  2. Step 2: Convert to fraction form
    7,074.70/9,764.44 = 4,684.70/x
  3. Step 3: Cross multiply
    7,074.70x = 9,764.44 × 4,684.70
  4. Step 4: Simplify right side
    7,074.70x = 45,743,484.77
  5. Step 5: Solve for x
    x = 45,743,484.77/7,074.70
  6. Step 6: Final answer
    x = 6,465.79

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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.