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Finding the Fourth Proportional to 9,671.88, 14,478.66 and 6,374.64

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Solution

The fourth proportional to 9,671.88, 14,478.66 and 6,374.64 is: 9,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.88 : 14,478.66 = 6,374.64 : x
  2. Step 2: Convert to fraction form
    9,671.88/14,478.66 = 6,374.64/x
  3. Step 3: Cross multiply
    9,671.88x = 14,478.66 × 6,374.64
  4. Step 4: Simplify right side
    9,671.88x = 92,296,245.18
  5. Step 5: Solve for x
    x = 92,296,245.18/9,671.88
  6. Step 6: Final answer
    x = 9,542.74

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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.