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Finding the Fourth Proportional to 6,928.34, 9,563.87 and 4,576.10

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Solution

The fourth proportional to 6,928.34, 9,563.87 and 4,576.10 is: 6,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.34 : 9,563.87 = 4,576.10 : x
  2. Step 2: Convert to fraction form
    6,928.34/9,563.87 = 4,576.10/x
  3. Step 3: Cross multiply
    6,928.34x = 9,563.87 × 4,576.10
  4. Step 4: Simplify right side
    6,928.34x = 43,765,189.13
  5. Step 5: Solve for x
    x = 43,765,189.13/6,928.34
  6. Step 6: Final answer
    x = 6,316.84

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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.