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Finding the Fourth Proportional to 6,321.36, 9,458.28 and 5,988

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Solution

The fourth proportional to 6,321.36, 9,458.28 and 5,988 is: 8,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.36 : 9,458.28 = 5,988 : x
  2. Step 2: Convert to fraction form
    6,321.36/9,458.28 = 5,988/x
  3. Step 3: Cross multiply
    6,321.36x = 9,458.28 × 5,988
  4. Step 4: Simplify right side
    6,321.36x = 56,636,180.64
  5. Step 5: Solve for x
    x = 56,636,180.64/6,321.36
  6. Step 6: Final answer
    x = 8,959.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.