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Finding the Fourth Proportional to 6,284.46, 9,441.36 and 5,929.80

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Solution

The fourth proportional to 6,284.46, 9,441.36 and 5,929.80 is: 8,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.46 : 9,441.36 = 5,929.80 : x
  2. Step 2: Convert to fraction form
    6,284.46/9,441.36 = 5,929.80/x
  3. Step 3: Cross multiply
    6,284.46x = 9,441.36 × 5,929.80
  4. Step 4: Simplify right side
    6,284.46x = 55,985,329.32
  5. Step 5: Solve for x
    x = 55,985,329.32/6,284.46
  6. Step 6: Final answer
    x = 8,908.53

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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.