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Finding the Fourth Proportional to 9,967.47, 13,755.03 and 5,491.25

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Solution

The fourth proportional to 9,967.47, 13,755.03 and 5,491.25 is: 7,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.47 : 13,755.03 = 5,491.25 : x
  2. Step 2: Convert to fraction form
    9,967.47/13,755.03 = 5,491.25/x
  3. Step 3: Cross multiply
    9,967.47x = 13,755.03 × 5,491.25
  4. Step 4: Simplify right side
    9,967.47x = 75,532,322.84
  5. Step 5: Solve for x
    x = 75,532,322.84/9,967.47
  6. Step 6: Final answer
    x = 7,577.89

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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.