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Finding the Fourth Proportional to 9,576.51, 13,215.90 and 5,800.38

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Solution

The fourth proportional to 9,576.51, 13,215.90 and 5,800.38 is: 8,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.51 : 13,215.90 = 5,800.38 : x
  2. Step 2: Convert to fraction form
    9,576.51/13,215.90 = 5,800.38/x
  3. Step 3: Cross multiply
    9,576.51x = 13,215.90 × 5,800.38
  4. Step 4: Simplify right side
    9,576.51x = 76,657,242.04
  5. Step 5: Solve for x
    x = 76,657,242.04/9,576.51
  6. Step 6: Final answer
    x = 8,004.72

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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.