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Finding the Fourth Proportional to 9,205.60, 13,808.40 and 4,824.40

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Solution

The fourth proportional to 9,205.60, 13,808.40 and 4,824.40 is: 7,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.60 : 13,808.40 = 4,824.40 : x
  2. Step 2: Convert to fraction form
    9,205.60/13,808.40 = 4,824.40/x
  3. Step 3: Cross multiply
    9,205.60x = 13,808.40 × 4,824.40
  4. Step 4: Simplify right side
    9,205.60x = 66,617,244.96
  5. Step 5: Solve for x
    x = 66,617,244.96/9,205.60
  6. Step 6: Final answer
    x = 7,236.60

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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.