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Finding the Fourth Proportional to 9,796.01, 14,694.01 and 2,870.51

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Solution

The fourth proportional to 9,796.01, 14,694.01 and 2,870.51 is: 4,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.01 : 14,694.01 = 2,870.51 : x
  2. Step 2: Convert to fraction form
    9,796.01/14,694.01 = 2,870.51/x
  3. Step 3: Cross multiply
    9,796.01x = 14,694.01 × 2,870.51
  4. Step 4: Simplify right side
    9,796.01x = 42,179,302.65
  5. Step 5: Solve for x
    x = 42,179,302.65/9,796.01
  6. Step 6: Final answer
    x = 4,305.76

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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.