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Finding the Fourth Proportional to 9,615.84, 14,427 and 4,684.56

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Solution

The fourth proportional to 9,615.84, 14,427 and 4,684.56 is: 7,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.84 : 14,427 = 4,684.56 : x
  2. Step 2: Convert to fraction form
    9,615.84/14,427 = 4,684.56/x
  3. Step 3: Cross multiply
    9,615.84x = 14,427 × 4,684.56
  4. Step 4: Simplify right side
    9,615.84x = 67,584,147.12
  5. Step 5: Solve for x
    x = 67,584,147.12/9,615.84
  6. Step 6: Final answer
    x = 7,028.42

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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.