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Finding the Fourth Proportional to 9,538.52, 14,296.26 and 4,055

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Solution

The fourth proportional to 9,538.52, 14,296.26 and 4,055 is: 6,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.52 : 14,296.26 = 4,055 : x
  2. Step 2: Convert to fraction form
    9,538.52/14,296.26 = 4,055/x
  3. Step 3: Cross multiply
    9,538.52x = 14,296.26 × 4,055
  4. Step 4: Simplify right side
    9,538.52x = 57,971,334.30
  5. Step 5: Solve for x
    x = 57,971,334.30/9,538.52
  6. Step 6: Final answer
    x = 6,077.60

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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.