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Finding the Fourth Proportional to 6,846.90, 9,448.69 and 3,703.06

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Solution

The fourth proportional to 6,846.90, 9,448.69 and 3,703.06 is: 5,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.90 : 9,448.69 = 3,703.06 : x
  2. Step 2: Convert to fraction form
    6,846.90/9,448.69 = 3,703.06/x
  3. Step 3: Cross multiply
    6,846.90x = 9,448.69 × 3,703.06
  4. Step 4: Simplify right side
    6,846.90x = 34,989,065.99
  5. Step 5: Solve for x
    x = 34,989,065.99/6,846.90
  6. Step 6: Final answer
    x = 5,110.21

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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.