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Finding the Fourth Proportional to 9,614.66, 14,396.81 and 7,730.54

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Solution

The fourth proportional to 9,614.66, 14,396.81 and 7,730.54 is: 11,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.66 : 14,396.81 = 7,730.54 : x
  2. Step 2: Convert to fraction form
    9,614.66/14,396.81 = 7,730.54/x
  3. Step 3: Cross multiply
    9,614.66x = 14,396.81 × 7,730.54
  4. Step 4: Simplify right side
    9,614.66x = 111,295,124.16
  5. Step 5: Solve for x
    x = 111,295,124.16/9,614.66
  6. Step 6: Final answer
    x = 11,575.57

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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.