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Finding the Fourth Proportional to 9,697.77, 14,546.26 and 3,374.10

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Solution

The fourth proportional to 9,697.77, 14,546.26 and 3,374.10 is: 5,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.77 : 14,546.26 = 3,374.10 : x
  2. Step 2: Convert to fraction form
    9,697.77/14,546.26 = 3,374.10/x
  3. Step 3: Cross multiply
    9,697.77x = 14,546.26 × 3,374.10
  4. Step 4: Simplify right side
    9,697.77x = 49,080,529.12
  5. Step 5: Solve for x
    x = 49,080,529.12/9,697.77
  6. Step 6: Final answer
    x = 5,061.01

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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.