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Finding the Fourth Proportional to 6,317.84, 9,448.32 and 4,837.52

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Solution

The fourth proportional to 6,317.84, 9,448.32 and 4,837.52 is: 7,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.84 : 9,448.32 = 4,837.52 : x
  2. Step 2: Convert to fraction form
    6,317.84/9,448.32 = 4,837.52/x
  3. Step 3: Cross multiply
    6,317.84x = 9,448.32 × 4,837.52
  4. Step 4: Simplify right side
    6,317.84x = 45,706,436.97
  5. Step 5: Solve for x
    x = 45,706,436.97/6,317.84
  6. Step 6: Final answer
    x = 7,234.50

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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.