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Finding the Fourth Proportional to 9,527.25, 14,292.90 and 2,954.10

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Solution

The fourth proportional to 9,527.25, 14,292.90 and 2,954.10 is: 4,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.25 : 14,292.90 = 2,954.10 : x
  2. Step 2: Convert to fraction form
    9,527.25/14,292.90 = 2,954.10/x
  3. Step 3: Cross multiply
    9,527.25x = 14,292.90 × 2,954.10
  4. Step 4: Simplify right side
    9,527.25x = 42,222,655.89
  5. Step 5: Solve for x
    x = 42,222,655.89/9,527.25
  6. Step 6: Final answer
    x = 4,431.78

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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.