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Finding the Fourth Proportional to 6,421.49, 9,635.28 and 4,450.15

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Solution

The fourth proportional to 6,421.49, 9,635.28 and 4,450.15 is: 6,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.49 : 9,635.28 = 4,450.15 : x
  2. Step 2: Convert to fraction form
    6,421.49/9,635.28 = 4,450.15/x
  3. Step 3: Cross multiply
    6,421.49x = 9,635.28 × 4,450.15
  4. Step 4: Simplify right side
    6,421.49x = 42,878,441.29
  5. Step 5: Solve for x
    x = 42,878,441.29/6,421.49
  6. Step 6: Final answer
    x = 6,677.34

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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.