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Finding the Fourth Proportional to 9,147.84, 13,688.94 and 7,682.54

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Solution

The fourth proportional to 9,147.84, 13,688.94 and 7,682.54 is: 11,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.84 : 13,688.94 = 7,682.54 : x
  2. Step 2: Convert to fraction form
    9,147.84/13,688.94 = 7,682.54/x
  3. Step 3: Cross multiply
    9,147.84x = 13,688.94 × 7,682.54
  4. Step 4: Simplify right side
    9,147.84x = 105,165,829.11
  5. Step 5: Solve for x
    x = 105,165,829.11/9,147.84
  6. Step 6: Final answer
    x = 11,496.25

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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.