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Finding the Fourth Proportional to 9,597.16, 14,395.66 and 3,023.84

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Solution

The fourth proportional to 9,597.16, 14,395.66 and 3,023.84 is: 4,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.16 : 14,395.66 = 3,023.84 : x
  2. Step 2: Convert to fraction form
    9,597.16/14,395.66 = 3,023.84/x
  3. Step 3: Cross multiply
    9,597.16x = 14,395.66 × 3,023.84
  4. Step 4: Simplify right side
    9,597.16x = 43,530,172.53
  5. Step 5: Solve for x
    x = 43,530,172.53/9,597.16
  6. Step 6: Final answer
    x = 4,535.73

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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.