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Finding the Fourth Proportional to 6,924.36, 9,552.06 and 4,683.24

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Solution

The fourth proportional to 6,924.36, 9,552.06 and 4,683.24 is: 6,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.36 : 9,552.06 = 4,683.24 : x
  2. Step 2: Convert to fraction form
    6,924.36/9,552.06 = 4,683.24/x
  3. Step 3: Cross multiply
    6,924.36x = 9,552.06 × 4,683.24
  4. Step 4: Simplify right side
    6,924.36x = 44,734,589.47
  5. Step 5: Solve for x
    x = 44,734,589.47/6,924.36
  6. Step 6: Final answer
    x = 6,460.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.