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Finding the Fourth Proportional to 9,884.34, 13,634.46 and 6,527.16

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Solution

The fourth proportional to 9,884.34, 13,634.46 and 6,527.16 is: 9,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.34 : 13,634.46 = 6,527.16 : x
  2. Step 2: Convert to fraction form
    9,884.34/13,634.46 = 6,527.16/x
  3. Step 3: Cross multiply
    9,884.34x = 13,634.46 × 6,527.16
  4. Step 4: Simplify right side
    9,884.34x = 88,994,301.93
  5. Step 5: Solve for x
    x = 88,994,301.93/9,884.34
  6. Step 6: Final answer
    x = 9,003.57

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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.