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Finding the Fourth Proportional to 6,427.84, 8,869.27 and 3,594.33

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Solution

The fourth proportional to 6,427.84, 8,869.27 and 3,594.33 is: 4,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.84 : 8,869.27 = 3,594.33 : x
  2. Step 2: Convert to fraction form
    6,427.84/8,869.27 = 3,594.33/x
  3. Step 3: Cross multiply
    6,427.84x = 8,869.27 × 3,594.33
  4. Step 4: Simplify right side
    6,427.84x = 31,879,083.24
  5. Step 5: Solve for x
    x = 31,879,083.24/6,427.84
  6. Step 6: Final answer
    x = 4,959.53

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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.