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Finding the Fourth Proportional to 6,852.32, 9,442.26 and 4,728.50

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Solution

The fourth proportional to 6,852.32, 9,442.26 and 4,728.50 is: 6,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.32 : 9,442.26 = 4,728.50 : x
  2. Step 2: Convert to fraction form
    6,852.32/9,442.26 = 4,728.50/x
  3. Step 3: Cross multiply
    6,852.32x = 9,442.26 × 4,728.50
  4. Step 4: Simplify right side
    6,852.32x = 44,647,726.41
  5. Step 5: Solve for x
    x = 44,647,726.41/6,852.32
  6. Step 6: Final answer
    x = 6,515.71

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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.