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Finding the Fourth Proportional to 9,722.64, 14,576.08 and 3,873.60

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Solution

The fourth proportional to 9,722.64, 14,576.08 and 3,873.60 is: 5,807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.64 : 14,576.08 = 3,873.60 : x
  2. Step 2: Convert to fraction form
    9,722.64/14,576.08 = 3,873.60/x
  3. Step 3: Cross multiply
    9,722.64x = 14,576.08 × 3,873.60
  4. Step 4: Simplify right side
    9,722.64x = 56,461,903.49
  5. Step 5: Solve for x
    x = 56,461,903.49/9,722.64
  6. Step 6: Final answer
    x = 5,807.26

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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.