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Finding the Fourth Proportional to 9,891.76, 14,837.70 and 4,048.37

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Solution

The fourth proportional to 9,891.76, 14,837.70 and 4,048.37 is: 6,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.76 : 14,837.70 = 4,048.37 : x
  2. Step 2: Convert to fraction form
    9,891.76/14,837.70 = 4,048.37/x
  3. Step 3: Cross multiply
    9,891.76x = 14,837.70 × 4,048.37
  4. Step 4: Simplify right side
    9,891.76x = 60,068,496.18
  5. Step 5: Solve for x
    x = 60,068,496.18/9,891.76
  6. Step 6: Final answer
    x = 6,072.58

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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.