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Finding the Fourth Proportional to 9,646.54, 14,472.04 and 3,072.72

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Solution

The fourth proportional to 9,646.54, 14,472.04 and 3,072.72 is: 4,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.54 : 14,472.04 = 3,072.72 : x
  2. Step 2: Convert to fraction form
    9,646.54/14,472.04 = 3,072.72/x
  3. Step 3: Cross multiply
    9,646.54x = 14,472.04 × 3,072.72
  4. Step 4: Simplify right side
    9,646.54x = 44,468,526.75
  5. Step 5: Solve for x
    x = 44,468,526.75/9,646.54
  6. Step 6: Final answer
    x = 4,609.79

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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.