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Finding the Fourth Proportional to 9,118.32, 13,665.60 and 4,116.98

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Solution

The fourth proportional to 9,118.32, 13,665.60 and 4,116.98 is: 6,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.32 : 13,665.60 = 4,116.98 : x
  2. Step 2: Convert to fraction form
    9,118.32/13,665.60 = 4,116.98/x
  3. Step 3: Cross multiply
    9,118.32x = 13,665.60 × 4,116.98
  4. Step 4: Simplify right side
    9,118.32x = 56,260,933.56
  5. Step 5: Solve for x
    x = 56,260,933.56/9,118.32
  6. Step 6: Final answer
    x = 6,170.10

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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.