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Finding the Fourth Proportional to 9,296.51, 13,934.23 and 4,619.78

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Solution

The fourth proportional to 9,296.51, 13,934.23 and 4,619.78 is: 6,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.51 : 13,934.23 = 4,619.78 : x
  2. Step 2: Convert to fraction form
    9,296.51/13,934.23 = 4,619.78/x
  3. Step 3: Cross multiply
    9,296.51x = 13,934.23 × 4,619.78
  4. Step 4: Simplify right side
    9,296.51x = 64,373,077.07
  5. Step 5: Solve for x
    x = 64,373,077.07/9,296.51
  6. Step 6: Final answer
    x = 6,924.43

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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.