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Finding the Fourth Proportional to 9,415.09, 12,987.42 and 5,872.15

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Solution

The fourth proportional to 9,415.09, 12,987.42 and 5,872.15 is: 8,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.09 : 12,987.42 = 5,872.15 : x
  2. Step 2: Convert to fraction form
    9,415.09/12,987.42 = 5,872.15/x
  3. Step 3: Cross multiply
    9,415.09x = 12,987.42 × 5,872.15
  4. Step 4: Simplify right side
    9,415.09x = 76,264,078.35
  5. Step 5: Solve for x
    x = 76,264,078.35/9,415.09
  6. Step 6: Final answer
    x = 8,100.20

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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.