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Finding the Fourth Proportional to 6,800.21, 9,385.03 and 4,147.60

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Solution

The fourth proportional to 6,800.21, 9,385.03 and 4,147.60 is: 5,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.21 : 9,385.03 = 4,147.60 : x
  2. Step 2: Convert to fraction form
    6,800.21/9,385.03 = 4,147.60/x
  3. Step 3: Cross multiply
    6,800.21x = 9,385.03 × 4,147.60
  4. Step 4: Simplify right side
    6,800.21x = 38,925,303.50
  5. Step 5: Solve for x
    x = 38,925,303.50/6,800.21
  6. Step 6: Final answer
    x = 5,724.13

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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.