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Finding the Fourth Proportional to 9,971.02, 14,957.73 and 4,131.76

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Solution

The fourth proportional to 9,971.02, 14,957.73 and 4,131.76 is: 6,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.02 : 14,957.73 = 4,131.76 : x
  2. Step 2: Convert to fraction form
    9,971.02/14,957.73 = 4,131.76/x
  3. Step 3: Cross multiply
    9,971.02x = 14,957.73 × 4,131.76
  4. Step 4: Simplify right side
    9,971.02x = 61,801,750.50
  5. Step 5: Solve for x
    x = 61,801,750.50/9,971.02
  6. Step 6: Final answer
    x = 6,198.14

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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.