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Finding the Fourth Proportional to 6,852.37, 10,284.32 and 6,420.37

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Solution

The fourth proportional to 6,852.37, 10,284.32 and 6,420.37 is: 9,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.37 : 10,284.32 = 6,420.37 : x
  2. Step 2: Convert to fraction form
    6,852.37/10,284.32 = 6,420.37/x
  3. Step 3: Cross multiply
    6,852.37x = 10,284.32 × 6,420.37
  4. Step 4: Simplify right side
    6,852.37x = 66,029,139.60
  5. Step 5: Solve for x
    x = 66,029,139.60/6,852.37
  6. Step 6: Final answer
    x = 9,635.96

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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.