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Finding the Fourth Proportional to 9,164.07, 13,745.16 and 3,240

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Solution

The fourth proportional to 9,164.07, 13,745.16 and 3,240 is: 4,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.07 : 13,745.16 = 3,240 : x
  2. Step 2: Convert to fraction form
    9,164.07/13,745.16 = 3,240/x
  3. Step 3: Cross multiply
    9,164.07x = 13,745.16 × 3,240
  4. Step 4: Simplify right side
    9,164.07x = 44,534,318.40
  5. Step 5: Solve for x
    x = 44,534,318.40/9,164.07
  6. Step 6: Final answer
    x = 4,859.67

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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.