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Finding the Fourth Proportional to 9,189.52, 13,788.84 and 3,642.74

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Solution

The fourth proportional to 9,189.52, 13,788.84 and 3,642.74 is: 5,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.52 : 13,788.84 = 3,642.74 : x
  2. Step 2: Convert to fraction form
    9,189.52/13,788.84 = 3,642.74/x
  3. Step 3: Cross multiply
    9,189.52x = 13,788.84 × 3,642.74
  4. Step 4: Simplify right side
    9,189.52x = 50,229,159.02
  5. Step 5: Solve for x
    x = 50,229,159.02/9,189.52
  6. Step 6: Final answer
    x = 5,465.92

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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.