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Finding the Fourth Proportional to 9,714.18, 14,574.32 and 3,474.05

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Solution

The fourth proportional to 9,714.18, 14,574.32 and 3,474.05 is: 5,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.18 : 14,574.32 = 3,474.05 : x
  2. Step 2: Convert to fraction form
    9,714.18/14,574.32 = 3,474.05/x
  3. Step 3: Cross multiply
    9,714.18x = 14,574.32 × 3,474.05
  4. Step 4: Simplify right side
    9,714.18x = 50,631,826.15
  5. Step 5: Solve for x
    x = 50,631,826.15/9,714.18
  6. Step 6: Final answer
    x = 5,212.16

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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.