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Finding the Fourth Proportional to 9,614.45, 14,396.50 and 7,730.32

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Solution

The fourth proportional to 9,614.45, 14,396.50 and 7,730.32 is: 11,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.45 : 14,396.50 = 7,730.32 : x
  2. Step 2: Convert to fraction form
    9,614.45/14,396.50 = 7,730.32/x
  3. Step 3: Cross multiply
    9,614.45x = 14,396.50 × 7,730.32
  4. Step 4: Simplify right side
    9,614.45x = 111,289,580.67
  5. Step 5: Solve for x
    x = 111,289,580.67/9,614.45
  6. Step 6: Final answer
    x = 11,575.25

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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.