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Finding the Fourth Proportional to 9,638.36, 14,459.84 and 3,064.56

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Solution

The fourth proportional to 9,638.36, 14,459.84 and 3,064.56 is: 4,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.36 : 14,459.84 = 3,064.56 : x
  2. Step 2: Convert to fraction form
    9,638.36/14,459.84 = 3,064.56/x
  3. Step 3: Cross multiply
    9,638.36x = 14,459.84 × 3,064.56
  4. Step 4: Simplify right side
    9,638.36x = 44,313,047.27
  5. Step 5: Solve for x
    x = 44,313,047.27/9,638.36
  6. Step 6: Final answer
    x = 4,597.57

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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.