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Finding the Fourth Proportional to 9,494.87, 13,104.14 and 5,720.00

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Solution

The fourth proportional to 9,494.87, 13,104.14 and 5,720.00 is: 7,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.87 : 13,104.14 = 5,720.00 : x
  2. Step 2: Convert to fraction form
    9,494.87/13,104.14 = 5,720.00/x
  3. Step 3: Cross multiply
    9,494.87x = 13,104.14 × 5,720.00
  4. Step 4: Simplify right side
    9,494.87x = 74,955,586.68
  5. Step 5: Solve for x
    x = 74,955,586.68/9,494.87
  6. Step 6: Final answer
    x = 7,894.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.