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Finding the Fourth Proportional to 9,576.98, 13,214.25 and 5,597.31

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Solution

The fourth proportional to 9,576.98, 13,214.25 and 5,597.31 is: 7,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.98 : 13,214.25 = 5,597.31 : x
  2. Step 2: Convert to fraction form
    9,576.98/13,214.25 = 5,597.31/x
  3. Step 3: Cross multiply
    9,576.98x = 13,214.25 × 5,597.31
  4. Step 4: Simplify right side
    9,576.98x = 73,964,253.67
  5. Step 5: Solve for x
    x = 73,964,253.67/9,576.98
  6. Step 6: Final answer
    x = 7,723.13

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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.