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Finding the Fourth Proportional to 6,846.64, 9,444.20 and 5,052.32

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Solution

The fourth proportional to 6,846.64, 9,444.20 and 5,052.32 is: 6,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.64 : 9,444.20 = 5,052.32 : x
  2. Step 2: Convert to fraction form
    6,846.64/9,444.20 = 5,052.32/x
  3. Step 3: Cross multiply
    6,846.64x = 9,444.20 × 5,052.32
  4. Step 4: Simplify right side
    6,846.64x = 47,715,120.54
  5. Step 5: Solve for x
    x = 47,715,120.54/6,846.64
  6. Step 6: Final answer
    x = 6,969.13

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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.