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Finding the Fourth Proportional to 9,534.21, 13,154.05 and 5,755.93

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Solution

The fourth proportional to 9,534.21, 13,154.05 and 5,755.93 is: 7,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.21 : 13,154.05 = 5,755.93 : x
  2. Step 2: Convert to fraction form
    9,534.21/13,154.05 = 5,755.93/x
  3. Step 3: Cross multiply
    9,534.21x = 13,154.05 × 5,755.93
  4. Step 4: Simplify right side
    9,534.21x = 75,713,791.02
  5. Step 5: Solve for x
    x = 75,713,791.02/9,534.21
  6. Step 6: Final answer
    x = 7,941.28

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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.