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Finding the Fourth Proportional to 12,562.36, 17,335.74 and 6,973

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Solution

The fourth proportional to 12,562.36, 17,335.74 and 6,973 is: 9,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.36 : 17,335.74 = 6,973 : x
  2. Step 2: Convert to fraction form
    12,562.36/17,335.74 = 6,973/x
  3. Step 3: Cross multiply
    12,562.36x = 17,335.74 × 6,973
  4. Step 4: Simplify right side
    12,562.36x = 120,882,115.02
  5. Step 5: Solve for x
    x = 120,882,115.02/12,562.36
  6. Step 6: Final answer
    x = 9,622.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.