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Finding the Fourth Proportional to 9,880.38, 13,625.64 and 5,901.12

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Solution

The fourth proportional to 9,880.38, 13,625.64 and 5,901.12 is: 8,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.38 : 13,625.64 = 5,901.12 : x
  2. Step 2: Convert to fraction form
    9,880.38/13,625.64 = 5,901.12/x
  3. Step 3: Cross multiply
    9,880.38x = 13,625.64 × 5,901.12
  4. Step 4: Simplify right side
    9,880.38x = 80,406,536.72
  5. Step 5: Solve for x
    x = 80,406,536.72/9,880.38
  6. Step 6: Final answer
    x = 8,138.00

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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.