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Finding the Fourth Proportional to 9,708.96, 14,563.44 and 4,512

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Solution

The fourth proportional to 9,708.96, 14,563.44 and 4,512 is: 6,768.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.96 : 14,563.44 = 4,512 : x
  2. Step 2: Convert to fraction form
    9,708.96/14,563.44 = 4,512/x
  3. Step 3: Cross multiply
    9,708.96x = 14,563.44 × 4,512
  4. Step 4: Simplify right side
    9,708.96x = 65,710,241.28
  5. Step 5: Solve for x
    x = 65,710,241.28/9,708.96
  6. Step 6: Final answer
    x = 6,768.00

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Why These Related Problems?

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