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Finding the Fourth Proportional to 9,729.60, 14,593.20 and 4,534.08

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Solution

The fourth proportional to 9,729.60, 14,593.20 and 4,534.08 is: 6,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.60 : 14,593.20 = 4,534.08 : x
  2. Step 2: Convert to fraction form
    9,729.60/14,593.20 = 4,534.08/x
  3. Step 3: Cross multiply
    9,729.60x = 14,593.20 × 4,534.08
  4. Step 4: Simplify right side
    9,729.60x = 66,166,736.26
  5. Step 5: Solve for x
    x = 66,166,736.26/9,729.60
  6. Step 6: Final answer
    x = 6,800.56

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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.