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Finding the Fourth Proportional to 9,114.81, 12,578.52 and 5,135.14

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Solution

The fourth proportional to 9,114.81, 12,578.52 and 5,135.14 is: 7,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.81 : 12,578.52 = 5,135.14 : x
  2. Step 2: Convert to fraction form
    9,114.81/12,578.52 = 5,135.14/x
  3. Step 3: Cross multiply
    9,114.81x = 12,578.52 × 5,135.14
  4. Step 4: Simplify right side
    9,114.81x = 64,592,461.19
  5. Step 5: Solve for x
    x = 64,592,461.19/9,114.81
  6. Step 6: Final answer
    x = 7,086.54

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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.