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Finding the Fourth Proportional to 9,723.40, 14,576.55 and 5,764.90

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Solution

The fourth proportional to 9,723.40, 14,576.55 and 5,764.90 is: 8,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.40 : 14,576.55 = 5,764.90 : x
  2. Step 2: Convert to fraction form
    9,723.40/14,576.55 = 5,764.90/x
  3. Step 3: Cross multiply
    9,723.40x = 14,576.55 × 5,764.90
  4. Step 4: Simplify right side
    9,723.40x = 84,032,353.10
  5. Step 5: Solve for x
    x = 84,032,353.10/9,723.40
  6. Step 6: Final answer
    x = 8,642.28

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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.