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Finding the Fourth Proportional to 27,095.40, 40,643.10 and 9,562.95

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Solution

The fourth proportional to 27,095.40, 40,643.10 and 9,562.95 is: 14,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,095.40 : 40,643.10 = 9,562.95 : x
  2. Step 2: Convert to fraction form
    27,095.40/40,643.10 = 9,562.95/x
  3. Step 3: Cross multiply
    27,095.40x = 40,643.10 × 9,562.95
  4. Step 4: Simplify right side
    27,095.40x = 388,667,933.15
  5. Step 5: Solve for x
    x = 388,667,933.15/27,095.40
  6. Step 6: Final answer
    x = 14,344.43

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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.