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Finding the Fourth Proportional to 9,659.81, 14,492.16 and 2,734.31

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Solution

The fourth proportional to 9,659.81, 14,492.16 and 2,734.31 is: 4,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.81 : 14,492.16 = 2,734.31 : x
  2. Step 2: Convert to fraction form
    9,659.81/14,492.16 = 2,734.31/x
  3. Step 3: Cross multiply
    9,659.81x = 14,492.16 × 2,734.31
  4. Step 4: Simplify right side
    9,659.81x = 39,626,094.24
  5. Step 5: Solve for x
    x = 39,626,094.24/9,659.81
  6. Step 6: Final answer
    x = 4,102.16

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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.