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Finding the Fourth Proportional to 9,329.61, 12,874.85 and 5,137.86

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Solution

The fourth proportional to 9,329.61, 12,874.85 and 5,137.86 is: 7,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.61 : 12,874.85 = 5,137.86 : x
  2. Step 2: Convert to fraction form
    9,329.61/12,874.85 = 5,137.86/x
  3. Step 3: Cross multiply
    9,329.61x = 12,874.85 × 5,137.86
  4. Step 4: Simplify right side
    9,329.61x = 66,149,176.82
  5. Step 5: Solve for x
    x = 66,149,176.82/9,329.61
  6. Step 6: Final answer
    x = 7,090.24

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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.