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Finding the Fourth Proportional to 6,396, 8,826.48 and 4,536.24

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Solution

The fourth proportional to 6,396, 8,826.48 and 4,536.24 is: 6,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396 : 8,826.48 = 4,536.24 : x
  2. Step 2: Convert to fraction form
    6,396/8,826.48 = 4,536.24/x
  3. Step 3: Cross multiply
    6,396x = 8,826.48 × 4,536.24
  4. Step 4: Simplify right side
    6,396x = 40,039,031.64
  5. Step 5: Solve for x
    x = 40,039,031.64/6,396
  6. Step 6: Final answer
    x = 6,260.01

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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.