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Finding the Fourth Proportional to 9,357.12, 12,912.78 and 5,165.34

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Solution

The fourth proportional to 9,357.12, 12,912.78 and 5,165.34 is: 7,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.12 : 12,912.78 = 5,165.34 : x
  2. Step 2: Convert to fraction form
    9,357.12/12,912.78 = 5,165.34/x
  3. Step 3: Cross multiply
    9,357.12x = 12,912.78 × 5,165.34
  4. Step 4: Simplify right side
    9,357.12x = 66,698,899.05
  5. Step 5: Solve for x
    x = 66,698,899.05/9,357.12
  6. Step 6: Final answer
    x = 7,128.14

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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.