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Finding the Fourth Proportional to 6,443.04, 9,657.18 and 2,973

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Solution

The fourth proportional to 6,443.04, 9,657.18 and 2,973 is: 4,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.04 : 9,657.18 = 2,973 : x
  2. Step 2: Convert to fraction form
    6,443.04/9,657.18 = 2,973/x
  3. Step 3: Cross multiply
    6,443.04x = 9,657.18 × 2,973
  4. Step 4: Simplify right side
    6,443.04x = 28,710,796.14
  5. Step 5: Solve for x
    x = 28,710,796.14/6,443.04
  6. Step 6: Final answer
    x = 4,456.09

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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.