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Finding the Fourth Proportional to 14,714.41, 20,291.97 and 9,400

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Solution

The fourth proportional to 14,714.41, 20,291.97 and 9,400 is: 12,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.41 : 20,291.97 = 9,400 : x
  2. Step 2: Convert to fraction form
    14,714.41/20,291.97 = 9,400/x
  3. Step 3: Cross multiply
    14,714.41x = 20,291.97 × 9,400
  4. Step 4: Simplify right side
    14,714.41x = 190,744,518
  5. Step 5: Solve for x
    x = 190,744,518/14,714.41
  6. Step 6: Final answer
    x = 12,963.11

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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.