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Finding the Fourth Proportional to 7,170.12, 9,894.96 and 4,026.24

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Solution

The fourth proportional to 7,170.12, 9,894.96 and 4,026.24 is: 5,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.12 : 9,894.96 = 4,026.24 : x
  2. Step 2: Convert to fraction form
    7,170.12/9,894.96 = 4,026.24/x
  3. Step 3: Cross multiply
    7,170.12x = 9,894.96 × 4,026.24
  4. Step 4: Simplify right side
    7,170.12x = 39,839,483.75
  5. Step 5: Solve for x
    x = 39,839,483.75/7,170.12
  6. Step 6: Final answer
    x = 5,556.32

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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.