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Finding the Fourth Proportional to 9,704.61, 14,584.61 and 4,777.68

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Solution

The fourth proportional to 9,704.61, 14,584.61 and 4,777.68 is: 7,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.61 : 14,584.61 = 4,777.68 : x
  2. Step 2: Convert to fraction form
    9,704.61/14,584.61 = 4,777.68/x
  3. Step 3: Cross multiply
    9,704.61x = 14,584.61 × 4,777.68
  4. Step 4: Simplify right side
    9,704.61x = 69,680,639.27
  5. Step 5: Solve for x
    x = 69,680,639.27/9,704.61
  6. Step 6: Final answer
    x = 7,180.16

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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.