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Finding the Fourth Proportional to 9,697.56, 14,542.20 and 3,459.12

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Solution

The fourth proportional to 9,697.56, 14,542.20 and 3,459.12 is: 5,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.56 : 14,542.20 = 3,459.12 : x
  2. Step 2: Convert to fraction form
    9,697.56/14,542.20 = 3,459.12/x
  3. Step 3: Cross multiply
    9,697.56x = 14,542.20 × 3,459.12
  4. Step 4: Simplify right side
    9,697.56x = 50,303,214.86
  5. Step 5: Solve for x
    x = 50,303,214.86/9,697.56
  6. Step 6: Final answer
    x = 5,187.20

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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.