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Finding the Fourth Proportional to 9,309.40, 12,820.55 and 8,189.93

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Solution

The fourth proportional to 9,309.40, 12,820.55 and 8,189.93 is: 11,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.40 : 12,820.55 = 8,189.93 : x
  2. Step 2: Convert to fraction form
    9,309.40/12,820.55 = 8,189.93/x
  3. Step 3: Cross multiply
    9,309.40x = 12,820.55 × 8,189.93
  4. Step 4: Simplify right side
    9,309.40x = 104,999,398.16
  5. Step 5: Solve for x
    x = 104,999,398.16/9,309.40
  6. Step 6: Final answer
    x = 11,278.86

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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.