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Finding the Fourth Proportional to 9,723.48, 14,555.04 and 7,859.04

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Solution

The fourth proportional to 9,723.48, 14,555.04 and 7,859.04 is: 11,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.48 : 14,555.04 = 7,859.04 : x
  2. Step 2: Convert to fraction form
    9,723.48/14,555.04 = 7,859.04/x
  3. Step 3: Cross multiply
    9,723.48x = 14,555.04 × 7,859.04
  4. Step 4: Simplify right side
    9,723.48x = 114,388,641.56
  5. Step 5: Solve for x
    x = 114,388,641.56/9,723.48
  6. Step 6: Final answer
    x = 11,764.17

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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.