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Finding the Fourth Proportional to 9,189.62, 13,785.71 and 2,948.16

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Solution

The fourth proportional to 9,189.62, 13,785.71 and 2,948.16 is: 4,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.62 : 13,785.71 = 2,948.16 : x
  2. Step 2: Convert to fraction form
    9,189.62/13,785.71 = 2,948.16/x
  3. Step 3: Cross multiply
    9,189.62x = 13,785.71 × 2,948.16
  4. Step 4: Simplify right side
    9,189.62x = 40,642,464.05
  5. Step 5: Solve for x
    x = 40,642,464.05/9,189.62
  6. Step 6: Final answer
    x = 4,422.65

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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.