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Finding the Fourth Proportional to 9,576.62, 13,215.98 and 5,800.46

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Solution

The fourth proportional to 9,576.62, 13,215.98 and 5,800.46 is: 8,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.62 : 13,215.98 = 5,800.46 : x
  2. Step 2: Convert to fraction form
    9,576.62/13,215.98 = 5,800.46/x
  3. Step 3: Cross multiply
    9,576.62x = 13,215.98 × 5,800.46
  4. Step 4: Simplify right side
    9,576.62x = 76,658,810.89
  5. Step 5: Solve for x
    x = 76,658,810.89/9,576.62
  6. Step 6: Final answer
    x = 8,004.79

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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.