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Finding the Fourth Proportional to 6,684.94, 9,222.36 and 4,030.84

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Solution

The fourth proportional to 6,684.94, 9,222.36 and 4,030.84 is: 5,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.94 : 9,222.36 = 4,030.84 : x
  2. Step 2: Convert to fraction form
    6,684.94/9,222.36 = 4,030.84/x
  3. Step 3: Cross multiply
    6,684.94x = 9,222.36 × 4,030.84
  4. Step 4: Simplify right side
    6,684.94x = 37,173,857.58
  5. Step 5: Solve for x
    x = 37,173,857.58/6,684.94
  6. Step 6: Final answer
    x = 5,560.84

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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.