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Finding the Fourth Proportional to 6,852.27, 9,442.17 and 4,728.45

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Solution

The fourth proportional to 6,852.27, 9,442.17 and 4,728.45 is: 6,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.27 : 9,442.17 = 4,728.45 : x
  2. Step 2: Convert to fraction form
    6,852.27/9,442.17 = 4,728.45/x
  3. Step 3: Cross multiply
    6,852.27x = 9,442.17 × 4,728.45
  4. Step 4: Simplify right side
    6,852.27x = 44,646,828.74
  5. Step 5: Solve for x
    x = 44,646,828.74/6,852.27
  6. Step 6: Final answer
    x = 6,515.63

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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.