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Finding the Fourth Proportional to 9,772.96, 14,661.60 and 4,576

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Solution

The fourth proportional to 9,772.96, 14,661.60 and 4,576 is: 6,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.96 : 14,661.60 = 4,576 : x
  2. Step 2: Convert to fraction form
    9,772.96/14,661.60 = 4,576/x
  3. Step 3: Cross multiply
    9,772.96x = 14,661.60 × 4,576
  4. Step 4: Simplify right side
    9,772.96x = 67,091,481.60
  5. Step 5: Solve for x
    x = 67,091,481.60/9,772.96
  6. Step 6: Final answer
    x = 6,865.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.