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Finding the Fourth Proportional to 9,728.02, 14,592.53 and 4,734.99

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Solution

The fourth proportional to 9,728.02, 14,592.53 and 4,734.99 is: 7,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.02 : 14,592.53 = 4,734.99 : x
  2. Step 2: Convert to fraction form
    9,728.02/14,592.53 = 4,734.99/x
  3. Step 3: Cross multiply
    9,728.02x = 14,592.53 × 4,734.99
  4. Step 4: Simplify right side
    9,728.02x = 69,095,483.62
  5. Step 5: Solve for x
    x = 69,095,483.62/9,728.02
  6. Step 6: Final answer
    x = 7,102.73

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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.