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Finding the Fourth Proportional to 6,800.37, 9,384.56 and 4,442.50

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Solution

The fourth proportional to 6,800.37, 9,384.56 and 4,442.50 is: 6,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.37 : 9,384.56 = 4,442.50 : x
  2. Step 2: Convert to fraction form
    6,800.37/9,384.56 = 4,442.50/x
  3. Step 3: Cross multiply
    6,800.37x = 9,384.56 × 4,442.50
  4. Step 4: Simplify right side
    6,800.37x = 41,690,907.80
  5. Step 5: Solve for x
    x = 41,690,907.80/6,800.37
  6. Step 6: Final answer
    x = 6,130.68

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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.