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Finding the Fourth Proportional to 9,971.46, 13,762.58 and 5,725.38

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Solution

The fourth proportional to 9,971.46, 13,762.58 and 5,725.38 is: 7,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.46 : 13,762.58 = 5,725.38 : x
  2. Step 2: Convert to fraction form
    9,971.46/13,762.58 = 5,725.38/x
  3. Step 3: Cross multiply
    9,971.46x = 13,762.58 × 5,725.38
  4. Step 4: Simplify right side
    9,971.46x = 78,796,000.28
  5. Step 5: Solve for x
    x = 78,796,000.28/9,971.46
  6. Step 6: Final answer
    x = 7,902.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.