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Finding the Fourth Proportional to 9,904.05, 14,827.34 and 7,706.12

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Solution

The fourth proportional to 9,904.05, 14,827.34 and 7,706.12 is: 11,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.05 : 14,827.34 = 7,706.12 : x
  2. Step 2: Convert to fraction form
    9,904.05/14,827.34 = 7,706.12/x
  3. Step 3: Cross multiply
    9,904.05x = 14,827.34 × 7,706.12
  4. Step 4: Simplify right side
    9,904.05x = 114,261,148.65
  5. Step 5: Solve for x
    x = 114,261,148.65/9,904.05
  6. Step 6: Final answer
    x = 11,536.81

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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.