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Finding the Fourth Proportional to 9,013.64, 13,527.43 and 5,892.80

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Solution

The fourth proportional to 9,013.64, 13,527.43 and 5,892.80 is: 8,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.64 : 13,527.43 = 5,892.80 : x
  2. Step 2: Convert to fraction form
    9,013.64/13,527.43 = 5,892.80/x
  3. Step 3: Cross multiply
    9,013.64x = 13,527.43 × 5,892.80
  4. Step 4: Simplify right side
    9,013.64x = 79,714,357.13
  5. Step 5: Solve for x
    x = 79,714,357.13/9,013.64
  6. Step 6: Final answer
    x = 8,843.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.