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Finding the Fourth Proportional to 9,506.76, 13,120.14 and 5,527.62

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Solution

The fourth proportional to 9,506.76, 13,120.14 and 5,527.62 is: 7,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.76 : 13,120.14 = 5,527.62 : x
  2. Step 2: Convert to fraction form
    9,506.76/13,120.14 = 5,527.62/x
  3. Step 3: Cross multiply
    9,506.76x = 13,120.14 × 5,527.62
  4. Step 4: Simplify right side
    9,506.76x = 72,523,148.27
  5. Step 5: Solve for x
    x = 72,523,148.27/9,506.76
  6. Step 6: Final answer
    x = 7,628.59

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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.