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Finding the Fourth Proportional to 9,704.64, 14,548.32 and 4,507.68

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Solution

The fourth proportional to 9,704.64, 14,548.32 and 4,507.68 is: 6,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.64 : 14,548.32 = 4,507.68 : x
  2. Step 2: Convert to fraction form
    9,704.64/14,548.32 = 4,507.68/x
  3. Step 3: Cross multiply
    9,704.64x = 14,548.32 × 4,507.68
  4. Step 4: Simplify right side
    9,704.64x = 65,579,171.10
  5. Step 5: Solve for x
    x = 65,579,171.10/9,704.64
  6. Step 6: Final answer
    x = 6,757.51

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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.