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Finding the Fourth Proportional to 9,347.10, 12,899.43 and 5,992.86

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Solution

The fourth proportional to 9,347.10, 12,899.43 and 5,992.86 is: 8,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.10 : 12,899.43 = 5,992.86 : x
  2. Step 2: Convert to fraction form
    9,347.10/12,899.43 = 5,992.86/x
  3. Step 3: Cross multiply
    9,347.10x = 12,899.43 × 5,992.86
  4. Step 4: Simplify right side
    9,347.10x = 77,304,478.07
  5. Step 5: Solve for x
    x = 77,304,478.07/9,347.10
  6. Step 6: Final answer
    x = 8,270.42

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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.