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Finding the Fourth Proportional to 9,667.63, 13,340.53 and 5,418.07

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Solution

The fourth proportional to 9,667.63, 13,340.53 and 5,418.07 is: 7,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.63 : 13,340.53 = 5,418.07 : x
  2. Step 2: Convert to fraction form
    9,667.63/13,340.53 = 5,418.07/x
  3. Step 3: Cross multiply
    9,667.63x = 13,340.53 × 5,418.07
  4. Step 4: Simplify right side
    9,667.63x = 72,279,925.38
  5. Step 5: Solve for x
    x = 72,279,925.38/9,667.63
  6. Step 6: Final answer
    x = 7,476.49

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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.