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Finding the Fourth Proportional to 6,297.64, 9,438.37 and 2,602.46

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Solution

The fourth proportional to 6,297.64, 9,438.37 and 2,602.46 is: 3,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.64 : 9,438.37 = 2,602.46 : x
  2. Step 2: Convert to fraction form
    6,297.64/9,438.37 = 2,602.46/x
  3. Step 3: Cross multiply
    6,297.64x = 9,438.37 × 2,602.46
  4. Step 4: Simplify right side
    6,297.64x = 24,562,980.39
  5. Step 5: Solve for x
    x = 24,562,980.39/6,297.64
  6. Step 6: Final answer
    x = 3,900.35

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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.