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Finding the Fourth Proportional to 12,254.47, 16,911.17 and 6,949.29

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Solution

The fourth proportional to 12,254.47, 16,911.17 and 6,949.29 is: 9,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.47 : 16,911.17 = 6,949.29 : x
  2. Step 2: Convert to fraction form
    12,254.47/16,911.17 = 6,949.29/x
  3. Step 3: Cross multiply
    12,254.47x = 16,911.17 × 6,949.29
  4. Step 4: Simplify right side
    12,254.47x = 117,520,641.94
  5. Step 5: Solve for x
    x = 117,520,641.94/12,254.47
  6. Step 6: Final answer
    x = 9,590.02

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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.