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Finding the Fourth Proportional to 9,878.19, 14,817.27 and 4,611.44

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Solution

The fourth proportional to 9,878.19, 14,817.27 and 4,611.44 is: 6,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.19 : 14,817.27 = 4,611.44 : x
  2. Step 2: Convert to fraction form
    9,878.19/14,817.27 = 4,611.44/x
  3. Step 3: Cross multiply
    9,878.19x = 14,817.27 × 4,611.44
  4. Step 4: Simplify right side
    9,878.19x = 68,328,909.59
  5. Step 5: Solve for x
    x = 68,328,909.59/9,878.19
  6. Step 6: Final answer
    x = 6,917.15

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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.