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Finding the Fourth Proportional to 9,927.50, 14,887.49 and 4,002.37

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Solution

The fourth proportional to 9,927.50, 14,887.49 and 4,002.37 is: 6,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.50 : 14,887.49 = 4,002.37 : x
  2. Step 2: Convert to fraction form
    9,927.50/14,887.49 = 4,002.37/x
  3. Step 3: Cross multiply
    9,927.50x = 14,887.49 × 4,002.37
  4. Step 4: Simplify right side
    9,927.50x = 59,585,186.12
  5. Step 5: Solve for x
    x = 59,585,186.12/9,927.50
  6. Step 6: Final answer
    x = 6,002.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.