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Finding the Fourth Proportional to 9,697.02, 14,538.30 and 3,119.46

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Solution

The fourth proportional to 9,697.02, 14,538.30 and 3,119.46 is: 4,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.02 : 14,538.30 = 3,119.46 : x
  2. Step 2: Convert to fraction form
    9,697.02/14,538.30 = 3,119.46/x
  3. Step 3: Cross multiply
    9,697.02x = 14,538.30 × 3,119.46
  4. Step 4: Simplify right side
    9,697.02x = 45,351,645.32
  5. Step 5: Solve for x
    x = 45,351,645.32/9,697.02
  6. Step 6: Final answer
    x = 4,676.86

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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.