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Finding the Fourth Proportional to 6,971.84, 9,621.94 and 4,846.82

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Solution

The fourth proportional to 6,971.84, 9,621.94 and 4,846.82 is: 6,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.84 : 9,621.94 = 4,846.82 : x
  2. Step 2: Convert to fraction form
    6,971.84/9,621.94 = 4,846.82/x
  3. Step 3: Cross multiply
    6,971.84x = 9,621.94 × 4,846.82
  4. Step 4: Simplify right side
    6,971.84x = 46,635,811.23
  5. Step 5: Solve for x
    x = 46,635,811.23/6,971.84
  6. Step 6: Final answer
    x = 6,689.17

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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.