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Finding the Fourth Proportional to 9,205.60, 13,806.60 and 3,583.29

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Solution

The fourth proportional to 9,205.60, 13,806.60 and 3,583.29 is: 5,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.60 : 13,806.60 = 3,583.29 : x
  2. Step 2: Convert to fraction form
    9,205.60/13,806.60 = 3,583.29/x
  3. Step 3: Cross multiply
    9,205.60x = 13,806.60 × 3,583.29
  4. Step 4: Simplify right side
    9,205.60x = 49,473,051.71
  5. Step 5: Solve for x
    x = 49,473,051.71/9,205.60
  6. Step 6: Final answer
    x = 5,374.23

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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.