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Finding the Fourth Proportional to 6,966.35, 9,614.35 and 4,841.31

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Solution

The fourth proportional to 6,966.35, 9,614.35 and 4,841.31 is: 6,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.35 : 9,614.35 = 4,841.31 : x
  2. Step 2: Convert to fraction form
    6,966.35/9,614.35 = 4,841.31/x
  3. Step 3: Cross multiply
    6,966.35x = 9,614.35 × 4,841.31
  4. Step 4: Simplify right side
    6,966.35x = 46,546,090.90
  5. Step 5: Solve for x
    x = 46,546,090.90/6,966.35
  6. Step 6: Final answer
    x = 6,681.56

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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.