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Finding the Fourth Proportional to 9,527.66, 14,265.08 and 7,180.56

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Solution

The fourth proportional to 9,527.66, 14,265.08 and 7,180.56 is: 10,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.66 : 14,265.08 = 7,180.56 : x
  2. Step 2: Convert to fraction form
    9,527.66/14,265.08 = 7,180.56/x
  3. Step 3: Cross multiply
    9,527.66x = 14,265.08 × 7,180.56
  4. Step 4: Simplify right side
    9,527.66x = 102,431,262.84
  5. Step 5: Solve for x
    x = 102,431,262.84/9,527.66
  6. Step 6: Final answer
    x = 10,750.94

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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.