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Finding the Fourth Proportional to 8,442.86, 12,661.19 and 2,894.72

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Solution

The fourth proportional to 8,442.86, 12,661.19 and 2,894.72 is: 4,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.86 : 12,661.19 = 2,894.72 : x
  2. Step 2: Convert to fraction form
    8,442.86/12,661.19 = 2,894.72/x
  3. Step 3: Cross multiply
    8,442.86x = 12,661.19 × 2,894.72
  4. Step 4: Simplify right side
    8,442.86x = 36,650,617.10
  5. Step 5: Solve for x
    x = 36,650,617.10/8,442.86
  6. Step 6: Final answer
    x = 4,341.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.