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Finding the Fourth Proportional to 9,833.16, 14,749.28 and 2,813.16

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Solution

The fourth proportional to 9,833.16, 14,749.28 and 2,813.16 is: 4,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.16 : 14,749.28 = 2,813.16 : x
  2. Step 2: Convert to fraction form
    9,833.16/14,749.28 = 2,813.16/x
  3. Step 3: Cross multiply
    9,833.16x = 14,749.28 × 2,813.16
  4. Step 4: Simplify right side
    9,833.16x = 41,492,084.52
  5. Step 5: Solve for x
    x = 41,492,084.52/9,833.16
  6. Step 6: Final answer
    x = 4,219.61

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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.