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Finding the Fourth Proportional to 9,576.38, 13,215.47 and 5,384.63

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Solution

The fourth proportional to 9,576.38, 13,215.47 and 5,384.63 is: 7,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.38 : 13,215.47 = 5,384.63 : x
  2. Step 2: Convert to fraction form
    9,576.38/13,215.47 = 5,384.63/x
  3. Step 3: Cross multiply
    9,576.38x = 13,215.47 × 5,384.63
  4. Step 4: Simplify right side
    9,576.38x = 71,160,323.23
  5. Step 5: Solve for x
    x = 71,160,323.23/9,576.38
  6. Step 6: Final answer
    x = 7,430.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.