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Finding the Fourth Proportional to 9,714.92, 14,583.96 and 9,318.84

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Solution

The fourth proportional to 9,714.92, 14,583.96 and 9,318.84 is: 13,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.92 : 14,583.96 = 9,318.84 : x
  2. Step 2: Convert to fraction form
    9,714.92/14,583.96 = 9,318.84/x
  3. Step 3: Cross multiply
    9,714.92x = 14,583.96 × 9,318.84
  4. Step 4: Simplify right side
    9,714.92x = 135,905,589.81
  5. Step 5: Solve for x
    x = 135,905,589.81/9,714.92
  6. Step 6: Final answer
    x = 13,989.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.