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Finding the Fourth Proportional to 9,957.80, 14,938.86 and 3,293.97

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Solution

The fourth proportional to 9,957.80, 14,938.86 and 3,293.97 is: 4,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.80 : 14,938.86 = 3,293.97 : x
  2. Step 2: Convert to fraction form
    9,957.80/14,938.86 = 3,293.97/x
  3. Step 3: Cross multiply
    9,957.80x = 14,938.86 × 3,293.97
  4. Step 4: Simplify right side
    9,957.80x = 49,208,113.01
  5. Step 5: Solve for x
    x = 49,208,113.01/9,957.80
  6. Step 6: Final answer
    x = 4,941.66

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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.