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Finding the Fourth Proportional to 9,440.12, 13,025.94 and 5,406.32

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Solution

The fourth proportional to 9,440.12, 13,025.94 and 5,406.32 is: 7,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440.12 : 13,025.94 = 5,406.32 : x
  2. Step 2: Convert to fraction form
    9,440.12/13,025.94 = 5,406.32/x
  3. Step 3: Cross multiply
    9,440.12x = 13,025.94 × 5,406.32
  4. Step 4: Simplify right side
    9,440.12x = 70,422,399.94
  5. Step 5: Solve for x
    x = 70,422,399.94/9,440.12
  6. Step 6: Final answer
    x = 7,459.91

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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.