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Finding the Fourth Proportional to 9,887.50, 14,833.47 and 3,313.52

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Solution

The fourth proportional to 9,887.50, 14,833.47 and 3,313.52 is: 4,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.50 : 14,833.47 = 3,313.52 : x
  2. Step 2: Convert to fraction form
    9,887.50/14,833.47 = 3,313.52/x
  3. Step 3: Cross multiply
    9,887.50x = 14,833.47 × 3,313.52
  4. Step 4: Simplify right side
    9,887.50x = 49,150,942.36
  5. Step 5: Solve for x
    x = 49,150,942.36/9,887.50
  6. Step 6: Final answer
    x = 4,971.02

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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.