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Finding the Fourth Proportional to 6,891.84, 9,510.84 and 4,237.68

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Solution

The fourth proportional to 6,891.84, 9,510.84 and 4,237.68 is: 5,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.84 : 9,510.84 = 4,237.68 : x
  2. Step 2: Convert to fraction form
    6,891.84/9,510.84 = 4,237.68/x
  3. Step 3: Cross multiply
    6,891.84x = 9,510.84 × 4,237.68
  4. Step 4: Simplify right side
    6,891.84x = 40,303,896.45
  5. Step 5: Solve for x
    x = 40,303,896.45/6,891.84
  6. Step 6: Final answer
    x = 5,848.06

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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.