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Finding the Fourth Proportional to 9,124.20, 13,685.94 and 6,342.84

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Solution

The fourth proportional to 9,124.20, 13,685.94 and 6,342.84 is: 9,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.20 : 13,685.94 = 6,342.84 : x
  2. Step 2: Convert to fraction form
    9,124.20/13,685.94 = 6,342.84/x
  3. Step 3: Cross multiply
    9,124.20x = 13,685.94 × 6,342.84
  4. Step 4: Simplify right side
    9,124.20x = 86,807,727.67
  5. Step 5: Solve for x
    x = 86,807,727.67/9,124.20
  6. Step 6: Final answer
    x = 9,514.01

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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.