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Finding the Fourth Proportional to 9,710.93, 13,400.07 and 5,935.02

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Solution

The fourth proportional to 9,710.93, 13,400.07 and 5,935.02 is: 8,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.93 : 13,400.07 = 5,935.02 : x
  2. Step 2: Convert to fraction form
    9,710.93/13,400.07 = 5,935.02/x
  3. Step 3: Cross multiply
    9,710.93x = 13,400.07 × 5,935.02
  4. Step 4: Simplify right side
    9,710.93x = 79,529,586.78
  5. Step 5: Solve for x
    x = 79,529,586.78/9,710.93
  6. Step 6: Final answer
    x = 8,189.70

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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.