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Finding the Fourth Proportional to 9,706.12, 14,561.10 and 3,133.96

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Solution

The fourth proportional to 9,706.12, 14,561.10 and 3,133.96 is: 4,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.12 : 14,561.10 = 3,133.96 : x
  2. Step 2: Convert to fraction form
    9,706.12/14,561.10 = 3,133.96/x
  3. Step 3: Cross multiply
    9,706.12x = 14,561.10 × 3,133.96
  4. Step 4: Simplify right side
    9,706.12x = 45,633,904.96
  5. Step 5: Solve for x
    x = 45,633,904.96/9,706.12
  6. Step 6: Final answer
    x = 4,701.56

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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.