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Finding the Fourth Proportional to 9,114.93, 12,578.36 and 5,135.81

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Solution

The fourth proportional to 9,114.93, 12,578.36 and 5,135.81 is: 7,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.93 : 12,578.36 = 5,135.81 : x
  2. Step 2: Convert to fraction form
    9,114.93/12,578.36 = 5,135.81/x
  3. Step 3: Cross multiply
    9,114.93x = 12,578.36 × 5,135.81
  4. Step 4: Simplify right side
    9,114.93x = 64,599,978.50
  5. Step 5: Solve for x
    x = 64,599,978.50/9,114.93
  6. Step 6: Final answer
    x = 7,087.27

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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.