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Finding the Fourth Proportional to 8,894.29, 13,345.32 and 4,217.64

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Solution

The fourth proportional to 8,894.29, 13,345.32 and 4,217.64 is: 6,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.29 : 13,345.32 = 4,217.64 : x
  2. Step 2: Convert to fraction form
    8,894.29/13,345.32 = 4,217.64/x
  3. Step 3: Cross multiply
    8,894.29x = 13,345.32 × 4,217.64
  4. Step 4: Simplify right side
    8,894.29x = 56,285,721.22
  5. Step 5: Solve for x
    x = 56,285,721.22/8,894.29
  6. Step 6: Final answer
    x = 6,328.30

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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.