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Finding the Fourth Proportional to 6,476.56, 9,723.04 and 5,394.16

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Solution

The fourth proportional to 6,476.56, 9,723.04 and 5,394.16 is: 8,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.56 : 9,723.04 = 5,394.16 : x
  2. Step 2: Convert to fraction form
    6,476.56/9,723.04 = 5,394.16/x
  3. Step 3: Cross multiply
    6,476.56x = 9,723.04 × 5,394.16
  4. Step 4: Simplify right side
    6,476.56x = 52,447,633.45
  5. Step 5: Solve for x
    x = 52,447,633.45/6,476.56
  6. Step 6: Final answer
    x = 8,098.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.