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Finding the Fourth Proportional to 9,058.84, 13,576.10 and 5,937.50

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Solution

The fourth proportional to 9,058.84, 13,576.10 and 5,937.50 is: 8,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058.84 : 13,576.10 = 5,937.50 : x
  2. Step 2: Convert to fraction form
    9,058.84/13,576.10 = 5,937.50/x
  3. Step 3: Cross multiply
    9,058.84x = 13,576.10 × 5,937.50
  4. Step 4: Simplify right side
    9,058.84x = 80,608,093.75
  5. Step 5: Solve for x
    x = 80,608,093.75/9,058.84
  6. Step 6: Final answer
    x = 8,898.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.