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Finding the Fourth Proportional to 6,684.46, 9,220.98 and 4,322.50

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Solution

The fourth proportional to 6,684.46, 9,220.98 and 4,322.50 is: 5,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.46 : 9,220.98 = 4,322.50 : x
  2. Step 2: Convert to fraction form
    6,684.46/9,220.98 = 4,322.50/x
  3. Step 3: Cross multiply
    6,684.46x = 9,220.98 × 4,322.50
  4. Step 4: Simplify right side
    6,684.46x = 39,857,686.05
  5. Step 5: Solve for x
    x = 39,857,686.05/6,684.46
  6. Step 6: Final answer
    x = 5,962.74

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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.