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Finding the Fourth Proportional to 9,937.71, 13,720.05 and 6,583.38

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Solution

The fourth proportional to 9,937.71, 13,720.05 and 6,583.38 is: 9,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.71 : 13,720.05 = 6,583.38 : x
  2. Step 2: Convert to fraction form
    9,937.71/13,720.05 = 6,583.38/x
  3. Step 3: Cross multiply
    9,937.71x = 13,720.05 × 6,583.38
  4. Step 4: Simplify right side
    9,937.71x = 90,324,302.77
  5. Step 5: Solve for x
    x = 90,324,302.77/9,937.71
  6. Step 6: Final answer
    x = 9,089.05

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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.