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Finding the Fourth Proportional to 9,687.94, 14,532.27 and 3,113.26

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Solution

The fourth proportional to 9,687.94, 14,532.27 and 3,113.26 is: 4,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.94 : 14,532.27 = 3,113.26 : x
  2. Step 2: Convert to fraction form
    9,687.94/14,532.27 = 3,113.26/x
  3. Step 3: Cross multiply
    9,687.94x = 14,532.27 × 3,113.26
  4. Step 4: Simplify right side
    9,687.94x = 45,242,734.90
  5. Step 5: Solve for x
    x = 45,242,734.90/9,687.94
  6. Step 6: Final answer
    x = 4,670.01

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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.