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Finding the Fourth Proportional to 9,684.94, 13,364.43 and 5,378.17

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Solution

The fourth proportional to 9,684.94, 13,364.43 and 5,378.17 is: 7,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.94 : 13,364.43 = 5,378.17 : x
  2. Step 2: Convert to fraction form
    9,684.94/13,364.43 = 5,378.17/x
  3. Step 3: Cross multiply
    9,684.94x = 13,364.43 × 5,378.17
  4. Step 4: Simplify right side
    9,684.94x = 71,876,176.49
  5. Step 5: Solve for x
    x = 71,876,176.49/9,684.94
  6. Step 6: Final answer
    x = 7,421.44

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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.