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Finding the Fourth Proportional to 9,709.94, 13,399.38 and 5,931.74

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Solution

The fourth proportional to 9,709.94, 13,399.38 and 5,931.74 is: 8,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.94 : 13,399.38 = 5,931.74 : x
  2. Step 2: Convert to fraction form
    9,709.94/13,399.38 = 5,931.74/x
  3. Step 3: Cross multiply
    9,709.94x = 13,399.38 × 5,931.74
  4. Step 4: Simplify right side
    9,709.94x = 79,481,638.32
  5. Step 5: Solve for x
    x = 79,481,638.32/9,709.94
  6. Step 6: Final answer
    x = 8,185.60

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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.