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Finding the Fourth Proportional to 9,530.64, 14,183.46 and 9,180.72

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Solution

The fourth proportional to 9,530.64, 14,183.46 and 9,180.72 is: 13,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.64 : 14,183.46 = 9,180.72 : x
  2. Step 2: Convert to fraction form
    9,530.64/14,183.46 = 9,180.72/x
  3. Step 3: Cross multiply
    9,530.64x = 14,183.46 × 9,180.72
  4. Step 4: Simplify right side
    9,530.64x = 130,214,374.89
  5. Step 5: Solve for x
    x = 130,214,374.89/9,530.64
  6. Step 6: Final answer
    x = 13,662.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.