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Finding the Fourth Proportional to 9,968.73, 13,756.98 and 5,720.47

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Solution

The fourth proportional to 9,968.73, 13,756.98 and 5,720.47 is: 7,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.73 : 13,756.98 = 5,720.47 : x
  2. Step 2: Convert to fraction form
    9,968.73/13,756.98 = 5,720.47/x
  3. Step 3: Cross multiply
    9,968.73x = 13,756.98 × 5,720.47
  4. Step 4: Simplify right side
    9,968.73x = 78,696,391.38
  5. Step 5: Solve for x
    x = 78,696,391.38/9,968.73
  6. Step 6: Final answer
    x = 7,894.32

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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.