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Finding the Fourth Proportional to 9,375.68, 14,056.46 and 5,677.02

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Solution

The fourth proportional to 9,375.68, 14,056.46 and 5,677.02 is: 8,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.68 : 14,056.46 = 5,677.02 : x
  2. Step 2: Convert to fraction form
    9,375.68/14,056.46 = 5,677.02/x
  3. Step 3: Cross multiply
    9,375.68x = 14,056.46 × 5,677.02
  4. Step 4: Simplify right side
    9,375.68x = 79,798,776.16
  5. Step 5: Solve for x
    x = 79,798,776.16/9,375.68
  6. Step 6: Final answer
    x = 8,511.26

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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.