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Finding the Fourth Proportional to 7,135.16, 9,846.27 and 3,904.83

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Solution

The fourth proportional to 7,135.16, 9,846.27 and 3,904.83 is: 5,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.16 : 9,846.27 = 3,904.83 : x
  2. Step 2: Convert to fraction form
    7,135.16/9,846.27 = 3,904.83/x
  3. Step 3: Cross multiply
    7,135.16x = 9,846.27 × 3,904.83
  4. Step 4: Simplify right side
    7,135.16x = 38,448,010.48
  5. Step 5: Solve for x
    x = 38,448,010.48/7,135.16
  6. Step 6: Final answer
    x = 5,388.53

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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.