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Finding the Fourth Proportional to 9,802.51, 14,704.85 and 3,137.43

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Solution

The fourth proportional to 9,802.51, 14,704.85 and 3,137.43 is: 4,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.51 : 14,704.85 = 3,137.43 : x
  2. Step 2: Convert to fraction form
    9,802.51/14,704.85 = 3,137.43/x
  3. Step 3: Cross multiply
    9,802.51x = 14,704.85 × 3,137.43
  4. Step 4: Simplify right side
    9,802.51x = 46,135,437.54
  5. Step 5: Solve for x
    x = 46,135,437.54/9,802.51
  6. Step 6: Final answer
    x = 4,706.49

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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.