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Finding the Fourth Proportional to 9,812.57, 14,720.67 and 3,239.01

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Solution

The fourth proportional to 9,812.57, 14,720.67 and 3,239.01 is: 4,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.57 : 14,720.67 = 3,239.01 : x
  2. Step 2: Convert to fraction form
    9,812.57/14,720.67 = 3,239.01/x
  3. Step 3: Cross multiply
    9,812.57x = 14,720.67 × 3,239.01
  4. Step 4: Simplify right side
    9,812.57x = 47,680,397.34
  5. Step 5: Solve for x
    x = 47,680,397.34/9,812.57
  6. Step 6: Final answer
    x = 4,859.12

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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.