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Finding the Fourth Proportional to 9,527.62, 14,291.43 and 3,289.42

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Solution

The fourth proportional to 9,527.62, 14,291.43 and 3,289.42 is: 4,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.62 : 14,291.43 = 3,289.42 : x
  2. Step 2: Convert to fraction form
    9,527.62/14,291.43 = 3,289.42/x
  3. Step 3: Cross multiply
    9,527.62x = 14,291.43 × 3,289.42
  4. Step 4: Simplify right side
    9,527.62x = 47,010,515.67
  5. Step 5: Solve for x
    x = 47,010,515.67/9,527.62
  6. Step 6: Final answer
    x = 4,934.13

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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.