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Finding the Fourth Proportional to 9,584.74, 14,350.42 and 4,894.60

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Solution

The fourth proportional to 9,584.74, 14,350.42 and 4,894.60 is: 7,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.74 : 14,350.42 = 4,894.60 : x
  2. Step 2: Convert to fraction form
    9,584.74/14,350.42 = 4,894.60/x
  3. Step 3: Cross multiply
    9,584.74x = 14,350.42 × 4,894.60
  4. Step 4: Simplify right side
    9,584.74x = 70,239,565.73
  5. Step 5: Solve for x
    x = 70,239,565.73/9,584.74
  6. Step 6: Final answer
    x = 7,328.27

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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.