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Finding the Fourth Proportional to 9,326.00, 12,870.81 and 6,964.04

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Solution

The fourth proportional to 9,326.00, 12,870.81 and 6,964.04 is: 9,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.00 : 12,870.81 = 6,964.04 : x
  2. Step 2: Convert to fraction form
    9,326.00/12,870.81 = 6,964.04/x
  3. Step 3: Cross multiply
    9,326.00x = 12,870.81 × 6,964.04
  4. Step 4: Simplify right side
    9,326.00x = 89,632,777.38
  5. Step 5: Solve for x
    x = 89,632,777.38/9,326.00
  6. Step 6: Final answer
    x = 9,611.07

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Why These Related Problems?

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