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Finding the Fourth Proportional to 9,738, 14,608.44 and 4,541.04

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Solution

The fourth proportional to 9,738, 14,608.44 and 4,541.04 is: 6,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 14,608.44 = 4,541.04 : x
  2. Step 2: Convert to fraction form
    9,738/14,608.44 = 4,541.04/x
  3. Step 3: Cross multiply
    9,738x = 14,608.44 × 4,541.04
  4. Step 4: Simplify right side
    9,738x = 66,337,510.38
  5. Step 5: Solve for x
    x = 66,337,510.38/9,738
  6. Step 6: Final answer
    x = 6,812.23

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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.