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Finding the Fourth Proportional to 9,957.38, 13,740.66 and 5,480.26

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Solution

The fourth proportional to 9,957.38, 13,740.66 and 5,480.26 is: 7,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.38 : 13,740.66 = 5,480.26 : x
  2. Step 2: Convert to fraction form
    9,957.38/13,740.66 = 5,480.26/x
  3. Step 3: Cross multiply
    9,957.38x = 13,740.66 × 5,480.26
  4. Step 4: Simplify right side
    9,957.38x = 75,302,389.37
  5. Step 5: Solve for x
    x = 75,302,389.37/9,957.38
  6. Step 6: Final answer
    x = 7,562.47

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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.