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Finding the Fourth Proportional to 27,685.95, 41,528.93 and 6,909.45

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Solution

The fourth proportional to 27,685.95, 41,528.93 and 6,909.45 is: 10,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.95 : 41,528.93 = 6,909.45 : x
  2. Step 2: Convert to fraction form
    27,685.95/41,528.93 = 6,909.45/x
  3. Step 3: Cross multiply
    27,685.95x = 41,528.93 × 6,909.45
  4. Step 4: Simplify right side
    27,685.95x = 286,942,065.39
  5. Step 5: Solve for x
    x = 286,942,065.39/27,685.95
  6. Step 6: Final answer
    x = 10,364.18

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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.