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Finding the Fourth Proportional to 6,803.34, 9,384.78 and 4,678.62

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Solution

The fourth proportional to 6,803.34, 9,384.78 and 4,678.62 is: 6,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.34 : 9,384.78 = 4,678.62 : x
  2. Step 2: Convert to fraction form
    6,803.34/9,384.78 = 4,678.62/x
  3. Step 3: Cross multiply
    6,803.34x = 9,384.78 × 4,678.62
  4. Step 4: Simplify right side
    6,803.34x = 43,907,819.40
  5. Step 5: Solve for x
    x = 43,907,819.40/6,803.34
  6. Step 6: Final answer
    x = 6,453.86

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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.