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Finding the Fourth Proportional to 9,296.56, 13,941.88 and 3,055.13

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Solution

The fourth proportional to 9,296.56, 13,941.88 and 3,055.13 is: 4,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.56 : 13,941.88 = 3,055.13 : x
  2. Step 2: Convert to fraction form
    9,296.56/13,941.88 = 3,055.13/x
  3. Step 3: Cross multiply
    9,296.56x = 13,941.88 × 3,055.13
  4. Step 4: Simplify right side
    9,296.56x = 42,594,255.84
  5. Step 5: Solve for x
    x = 42,594,255.84/9,296.56
  6. Step 6: Final answer
    x = 4,581.72

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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.