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Finding the Fourth Proportional to 9,376.68, 14,057.95 and 5,678.02

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Solution

The fourth proportional to 9,376.68, 14,057.95 and 5,678.02 is: 8,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.68 : 14,057.95 = 5,678.02 : x
  2. Step 2: Convert to fraction form
    9,376.68/14,057.95 = 5,678.02/x
  3. Step 3: Cross multiply
    9,376.68x = 14,057.95 × 5,678.02
  4. Step 4: Simplify right side
    9,376.68x = 79,821,321.26
  5. Step 5: Solve for x
    x = 79,821,321.26/9,376.68
  6. Step 6: Final answer
    x = 8,512.75

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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.