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Finding the Fourth Proportional to 9,704.64, 14,564.16 and 4,157.76

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Solution

The fourth proportional to 9,704.64, 14,564.16 and 4,157.76 is: 6,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.64 : 14,564.16 = 4,157.76 : x
  2. Step 2: Convert to fraction form
    9,704.64/14,564.16 = 4,157.76/x
  3. Step 3: Cross multiply
    9,704.64x = 14,564.16 × 4,157.76
  4. Step 4: Simplify right side
    9,704.64x = 60,554,281.88
  5. Step 5: Solve for x
    x = 60,554,281.88/9,704.64
  6. Step 6: Final answer
    x = 6,239.72

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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.