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Finding the Fourth Proportional to 9,189.90, 12,682.20 and 5,210.93

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Solution

The fourth proportional to 9,189.90, 12,682.20 and 5,210.93 is: 7,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.90 : 12,682.20 = 5,210.93 : x
  2. Step 2: Convert to fraction form
    9,189.90/12,682.20 = 5,210.93/x
  3. Step 3: Cross multiply
    9,189.90x = 12,682.20 × 5,210.93
  4. Step 4: Simplify right side
    9,189.90x = 66,085,993.04
  5. Step 5: Solve for x
    x = 66,085,993.04/9,189.90
  6. Step 6: Final answer
    x = 7,191.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.