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Finding the Fourth Proportional to 9,968.34, 13,755.51 and 5,776.86

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Solution

The fourth proportional to 9,968.34, 13,755.51 and 5,776.86 is: 7,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.34 : 13,755.51 = 5,776.86 : x
  2. Step 2: Convert to fraction form
    9,968.34/13,755.51 = 5,776.86/x
  3. Step 3: Cross multiply
    9,968.34x = 13,755.51 × 5,776.86
  4. Step 4: Simplify right side
    9,968.34x = 79,463,655.50
  5. Step 5: Solve for x
    x = 79,463,655.50/9,968.34
  6. Step 6: Final answer
    x = 7,971.60

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