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Finding the Fourth Proportional to 9,708.56, 14,563 and 2,783.06

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Solution

The fourth proportional to 9,708.56, 14,563 and 2,783.06 is: 4,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.56 : 14,563 = 2,783.06 : x
  2. Step 2: Convert to fraction form
    9,708.56/14,563 = 2,783.06/x
  3. Step 3: Cross multiply
    9,708.56x = 14,563 × 2,783.06
  4. Step 4: Simplify right side
    9,708.56x = 40,529,702.78
  5. Step 5: Solve for x
    x = 40,529,702.78/9,708.56
  6. Step 6: Final answer
    x = 4,174.64

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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.