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Finding the Fourth Proportional to 9,286.00, 13,931.30 and 4,608.20

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Solution

The fourth proportional to 9,286.00, 13,931.30 and 4,608.20 is: 6,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.00 : 13,931.30 = 4,608.20 : x
  2. Step 2: Convert to fraction form
    9,286.00/13,931.30 = 4,608.20/x
  3. Step 3: Cross multiply
    9,286.00x = 13,931.30 × 4,608.20
  4. Step 4: Simplify right side
    9,286.00x = 64,198,263.01
  5. Step 5: Solve for x
    x = 64,198,263.01/9,286.00
  6. Step 6: Final answer
    x = 6,913.45

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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.