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Finding the Fourth Proportional to 9,614.84, 13,256.66 and 6,961.28

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Solution

The fourth proportional to 9,614.84, 13,256.66 and 6,961.28 is: 9,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.84 : 13,256.66 = 6,961.28 : x
  2. Step 2: Convert to fraction form
    9,614.84/13,256.66 = 6,961.28/x
  3. Step 3: Cross multiply
    9,614.84x = 13,256.66 × 6,961.28
  4. Step 4: Simplify right side
    9,614.84x = 92,283,273.24
  5. Step 5: Solve for x
    x = 92,283,273.24/9,614.84
  6. Step 6: Final answer
    x = 9,598.01

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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.