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Finding the Fourth Proportional to 9,335.10, 12,882.90 and 6,189.06

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Solution

The fourth proportional to 9,335.10, 12,882.90 and 6,189.06 is: 8,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.10 : 12,882.90 = 6,189.06 : x
  2. Step 2: Convert to fraction form
    9,335.10/12,882.90 = 6,189.06/x
  3. Step 3: Cross multiply
    9,335.10x = 12,882.90 × 6,189.06
  4. Step 4: Simplify right side
    9,335.10x = 79,733,041.07
  5. Step 5: Solve for x
    x = 79,733,041.07/9,335.10
  6. Step 6: Final answer
    x = 8,541.21

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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.