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Finding the Fourth Proportional to 9,576.84, 13,215.96 and 5,385

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Solution

The fourth proportional to 9,576.84, 13,215.96 and 5,385 is: 7,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.84 : 13,215.96 = 5,385 : x
  2. Step 2: Convert to fraction form
    9,576.84/13,215.96 = 5,385/x
  3. Step 3: Cross multiply
    9,576.84x = 13,215.96 × 5,385
  4. Step 4: Simplify right side
    9,576.84x = 71,167,944.60
  5. Step 5: Solve for x
    x = 71,167,944.60/9,576.84
  6. Step 6: Final answer
    x = 7,431.26

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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.