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Finding the Fourth Proportional to 9,527.44, 13,152.64 and 5,994.22

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Solution

The fourth proportional to 9,527.44, 13,152.64 and 5,994.22 is: 8,275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.44 : 13,152.64 = 5,994.22 : x
  2. Step 2: Convert to fraction form
    9,527.44/13,152.64 = 5,994.22/x
  3. Step 3: Cross multiply
    9,527.44x = 13,152.64 × 5,994.22
  4. Step 4: Simplify right side
    9,527.44x = 78,839,817.74
  5. Step 5: Solve for x
    x = 78,839,817.74/9,527.44
  6. Step 6: Final answer
    x = 8,275.03

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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.