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Finding the Fourth Proportional to 7,063.58, 9,770.94 and 6,584.87

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Solution

The fourth proportional to 7,063.58, 9,770.94 and 6,584.87 is: 9,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.58 : 9,770.94 = 6,584.87 : x
  2. Step 2: Convert to fraction form
    7,063.58/9,770.94 = 6,584.87/x
  3. Step 3: Cross multiply
    7,063.58x = 9,770.94 × 6,584.87
  4. Step 4: Simplify right side
    7,063.58x = 64,340,320.82
  5. Step 5: Solve for x
    x = 64,340,320.82/7,063.58
  6. Step 6: Final answer
    x = 9,108.75

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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.