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Finding the Fourth Proportional to 6,905.34, 9,533.16 and 5,141.16

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Solution

The fourth proportional to 6,905.34, 9,533.16 and 5,141.16 is: 7,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.34 : 9,533.16 = 5,141.16 : x
  2. Step 2: Convert to fraction form
    6,905.34/9,533.16 = 5,141.16/x
  3. Step 3: Cross multiply
    6,905.34x = 9,533.16 × 5,141.16
  4. Step 4: Simplify right side
    6,905.34x = 49,011,500.87
  5. Step 5: Solve for x
    x = 49,011,500.87/6,905.34
  6. Step 6: Final answer
    x = 7,097.62

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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.