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Finding the Fourth Proportional to 9,767.68, 13,392 and 9,592.32

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Solution

The fourth proportional to 9,767.68, 13,392 and 9,592.32 is: 13,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.68 : 13,392 = 9,592.32 : x
  2. Step 2: Convert to fraction form
    9,767.68/13,392 = 9,592.32/x
  3. Step 3: Cross multiply
    9,767.68x = 13,392 × 9,592.32
  4. Step 4: Simplify right side
    9,767.68x = 128,460,349.44
  5. Step 5: Solve for x
    x = 128,460,349.44/9,767.68
  6. Step 6: Final answer
    x = 13,151.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.