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Finding the Fourth Proportional to 9,527.76, 14,293.14 and 2,952.39

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Solution

The fourth proportional to 9,527.76, 14,293.14 and 2,952.39 is: 4,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.76 : 14,293.14 = 2,952.39 : x
  2. Step 2: Convert to fraction form
    9,527.76/14,293.14 = 2,952.39/x
  3. Step 3: Cross multiply
    9,527.76x = 14,293.14 × 2,952.39
  4. Step 4: Simplify right side
    9,527.76x = 42,198,923.60
  5. Step 5: Solve for x
    x = 42,198,923.60/9,527.76
  6. Step 6: Final answer
    x = 4,429.05

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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.