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Finding the Fourth Proportional to 9,329.79, 12,874.64 and 5,137.23

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Solution

The fourth proportional to 9,329.79, 12,874.64 and 5,137.23 is: 7,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.79 : 12,874.64 = 5,137.23 : x
  2. Step 2: Convert to fraction form
    9,329.79/12,874.64 = 5,137.23/x
  3. Step 3: Cross multiply
    9,329.79x = 12,874.64 × 5,137.23
  4. Step 4: Simplify right side
    9,329.79x = 66,139,961.16
  5. Step 5: Solve for x
    x = 66,139,961.16/9,329.79
  6. Step 6: Final answer
    x = 7,089.12

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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.