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Finding the Fourth Proportional to 9,756.12, 13,462.46 and 5,506.80

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Solution

The fourth proportional to 9,756.12, 13,462.46 and 5,506.80 is: 7,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.12 : 13,462.46 = 5,506.80 : x
  2. Step 2: Convert to fraction form
    9,756.12/13,462.46 = 5,506.80/x
  3. Step 3: Cross multiply
    9,756.12x = 13,462.46 × 5,506.80
  4. Step 4: Simplify right side
    9,756.12x = 74,135,074.73
  5. Step 5: Solve for x
    x = 74,135,074.73/9,756.12
  6. Step 6: Final answer
    x = 7,598.83

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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.