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Finding the Fourth Proportional to 9,534.84, 14,296.71 and 3,684.63

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Solution

The fourth proportional to 9,534.84, 14,296.71 and 3,684.63 is: 5,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.84 : 14,296.71 = 3,684.63 : x
  2. Step 2: Convert to fraction form
    9,534.84/14,296.71 = 3,684.63/x
  3. Step 3: Cross multiply
    9,534.84x = 14,296.71 × 3,684.63
  4. Step 4: Simplify right side
    9,534.84x = 52,678,086.57
  5. Step 5: Solve for x
    x = 52,678,086.57/9,534.84
  6. Step 6: Final answer
    x = 5,524.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.