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Finding the Fourth Proportional to 9,189.16, 13,785.82 and 3,033

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Solution

The fourth proportional to 9,189.16, 13,785.82 and 3,033 is: 4,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.16 : 13,785.82 = 3,033 : x
  2. Step 2: Convert to fraction form
    9,189.16/13,785.82 = 3,033/x
  3. Step 3: Cross multiply
    9,189.16x = 13,785.82 × 3,033
  4. Step 4: Simplify right side
    9,189.16x = 41,812,392.06
  5. Step 5: Solve for x
    x = 41,812,392.06/9,189.16
  6. Step 6: Final answer
    x = 4,550.19

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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.