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Finding the Fourth Proportional to 9,723.60, 14,579.64 and 7,638.48

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Solution

The fourth proportional to 9,723.60, 14,579.64 and 7,638.48 is: 11,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.60 : 14,579.64 = 7,638.48 : x
  2. Step 2: Convert to fraction form
    9,723.60/14,579.64 = 7,638.48/x
  3. Step 3: Cross multiply
    9,723.60x = 14,579.64 × 7,638.48
  4. Step 4: Simplify right side
    9,723.60x = 111,366,288.55
  5. Step 5: Solve for x
    x = 111,366,288.55/9,723.60
  6. Step 6: Final answer
    x = 11,453.20

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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.