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Finding the Fourth Proportional to 6,422.16, 8,859.96 and 3,904.32

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Solution

The fourth proportional to 6,422.16, 8,859.96 and 3,904.32 is: 5,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.16 : 8,859.96 = 3,904.32 : x
  2. Step 2: Convert to fraction form
    6,422.16/8,859.96 = 3,904.32/x
  3. Step 3: Cross multiply
    6,422.16x = 8,859.96 × 3,904.32
  4. Step 4: Simplify right side
    6,422.16x = 34,592,119.03
  5. Step 5: Solve for x
    x = 34,592,119.03/6,422.16
  6. Step 6: Final answer
    x = 5,386.37

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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.