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Finding the Fourth Proportional to 7,035.36, 9,704.16 and 4,518.24

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Solution

The fourth proportional to 7,035.36, 9,704.16 and 4,518.24 is: 6,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.36 : 9,704.16 = 4,518.24 : x
  2. Step 2: Convert to fraction form
    7,035.36/9,704.16 = 4,518.24/x
  3. Step 3: Cross multiply
    7,035.36x = 9,704.16 × 4,518.24
  4. Step 4: Simplify right side
    7,035.36x = 43,845,723.88
  5. Step 5: Solve for x
    x = 43,845,723.88/7,035.36
  6. Step 6: Final answer
    x = 6,232.19

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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.