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Finding the Fourth Proportional to 9,896.50, 14,851.23 and 3,740.50

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Solution

The fourth proportional to 9,896.50, 14,851.23 and 3,740.50 is: 5,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.50 : 14,851.23 = 3,740.50 : x
  2. Step 2: Convert to fraction form
    9,896.50/14,851.23 = 3,740.50/x
  3. Step 3: Cross multiply
    9,896.50x = 14,851.23 × 3,740.50
  4. Step 4: Simplify right side
    9,896.50x = 55,551,025.82
  5. Step 5: Solve for x
    x = 55,551,025.82/9,896.50
  6. Step 6: Final answer
    x = 5,613.20

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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.