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Finding the Fourth Proportional to 9,734.94, 14,596.02 and 4,807.80

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Solution

The fourth proportional to 9,734.94, 14,596.02 and 4,807.80 is: 7,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.94 : 14,596.02 = 4,807.80 : x
  2. Step 2: Convert to fraction form
    9,734.94/14,596.02 = 4,807.80/x
  3. Step 3: Cross multiply
    9,734.94x = 14,596.02 × 4,807.80
  4. Step 4: Simplify right side
    9,734.94x = 70,174,744.96
  5. Step 5: Solve for x
    x = 70,174,744.96/9,734.94
  6. Step 6: Final answer
    x = 7,208.54

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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.