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Finding the Fourth Proportional to 9,368.64, 14,074.86 and 8,056.44

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Solution

The fourth proportional to 9,368.64, 14,074.86 and 8,056.44 is: 12,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.64 : 14,074.86 = 8,056.44 : x
  2. Step 2: Convert to fraction form
    9,368.64/14,074.86 = 8,056.44/x
  3. Step 3: Cross multiply
    9,368.64x = 14,074.86 × 8,056.44
  4. Step 4: Simplify right side
    9,368.64x = 113,393,265.10
  5. Step 5: Solve for x
    x = 113,393,265.10/9,368.64
  6. Step 6: Final answer
    x = 12,103.49

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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.