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Finding the Fourth Proportional to 9,482.32, 13,084.02 and 5,704.60

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Solution

The fourth proportional to 9,482.32, 13,084.02 and 5,704.60 is: 7,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.32 : 13,084.02 = 5,704.60 : x
  2. Step 2: Convert to fraction form
    9,482.32/13,084.02 = 5,704.60/x
  3. Step 3: Cross multiply
    9,482.32x = 13,084.02 × 5,704.60
  4. Step 4: Simplify right side
    9,482.32x = 74,639,100.49
  5. Step 5: Solve for x
    x = 74,639,100.49/9,482.32
  6. Step 6: Final answer
    x = 7,871.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.