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Finding the Fourth Proportional to 6,438.18, 9,654.84 and 2,973

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Solution

The fourth proportional to 6,438.18, 9,654.84 and 2,973 is: 4,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.18 : 9,654.84 = 2,973 : x
  2. Step 2: Convert to fraction form
    6,438.18/9,654.84 = 2,973/x
  3. Step 3: Cross multiply
    6,438.18x = 9,654.84 × 2,973
  4. Step 4: Simplify right side
    6,438.18x = 28,703,839.32
  5. Step 5: Solve for x
    x = 28,703,839.32/6,438.18
  6. Step 6: Final answer
    x = 4,458.38

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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.