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Finding the Fourth Proportional to 9,697.74, 14,546.28 and 3,125.19

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Solution

The fourth proportional to 9,697.74, 14,546.28 and 3,125.19 is: 4,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.74 : 14,546.28 = 3,125.19 : x
  2. Step 2: Convert to fraction form
    9,697.74/14,546.28 = 3,125.19/x
  3. Step 3: Cross multiply
    9,697.74x = 14,546.28 × 3,125.19
  4. Step 4: Simplify right side
    9,697.74x = 45,459,888.79
  5. Step 5: Solve for x
    x = 45,459,888.79/9,697.74
  6. Step 6: Final answer
    x = 4,687.68

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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.