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Finding the Fourth Proportional to 9,728.56, 14,595 and 2,803.08

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Solution

The fourth proportional to 9,728.56, 14,595 and 2,803.08 is: 4,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.56 : 14,595 = 2,803.08 : x
  2. Step 2: Convert to fraction form
    9,728.56/14,595 = 2,803.08/x
  3. Step 3: Cross multiply
    9,728.56x = 14,595 × 2,803.08
  4. Step 4: Simplify right side
    9,728.56x = 40,910,952.60
  5. Step 5: Solve for x
    x = 40,910,952.60/9,728.56
  6. Step 6: Final answer
    x = 4,205.24

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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.