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Finding the Fourth Proportional to 6,803.08, 9,381.12 and 5,384.50

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Solution

The fourth proportional to 6,803.08, 9,381.12 and 5,384.50 is: 7,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.08 : 9,381.12 = 5,384.50 : x
  2. Step 2: Convert to fraction form
    6,803.08/9,381.12 = 5,384.50/x
  3. Step 3: Cross multiply
    6,803.08x = 9,381.12 × 5,384.50
  4. Step 4: Simplify right side
    6,803.08x = 50,512,597.00
  5. Step 5: Solve for x
    x = 50,512,597.00/6,803.08
  6. Step 6: Final answer
    x = 7,424.96

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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.