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Finding the Fourth Proportional to 9,114.21, 13,663.80 and 4,116.90

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Solution

The fourth proportional to 9,114.21, 13,663.80 and 4,116.90 is: 6,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.21 : 13,663.80 = 4,116.90 : x
  2. Step 2: Convert to fraction form
    9,114.21/13,663.80 = 4,116.90/x
  3. Step 3: Cross multiply
    9,114.21x = 13,663.80 × 4,116.90
  4. Step 4: Simplify right side
    9,114.21x = 56,252,498.22
  5. Step 5: Solve for x
    x = 56,252,498.22/9,114.21
  6. Step 6: Final answer
    x = 6,171.96

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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.