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Finding the Fourth Proportional to 9,720, 14,584.32 and 4,530.24

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Solution

The fourth proportional to 9,720, 14,584.32 and 4,530.24 is: 6,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 14,584.32 = 4,530.24 : x
  2. Step 2: Convert to fraction form
    9,720/14,584.32 = 4,530.24/x
  3. Step 3: Cross multiply
    9,720x = 14,584.32 × 4,530.24
  4. Step 4: Simplify right side
    9,720x = 66,070,469.84
  5. Step 5: Solve for x
    x = 66,070,469.84/9,720
  6. Step 6: Final answer
    x = 6,797.37

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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.