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Finding the Fourth Proportional to 9,342.16, 12,892.34 and 5,150.40

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Solution

The fourth proportional to 9,342.16, 12,892.34 and 5,150.40 is: 7,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.16 : 12,892.34 = 5,150.40 : x
  2. Step 2: Convert to fraction form
    9,342.16/12,892.34 = 5,150.40/x
  3. Step 3: Cross multiply
    9,342.16x = 12,892.34 × 5,150.40
  4. Step 4: Simplify right side
    9,342.16x = 66,400,707.94
  5. Step 5: Solve for x
    x = 66,400,707.94/9,342.16
  6. Step 6: Final answer
    x = 7,107.64

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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.