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Finding the Fourth Proportional to 10,827.69, 14,934.83 and 9,719.61

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Solution

The fourth proportional to 10,827.69, 14,934.83 and 9,719.61 is: 13,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.69 : 14,934.83 = 9,719.61 : x
  2. Step 2: Convert to fraction form
    10,827.69/14,934.83 = 9,719.61/x
  3. Step 3: Cross multiply
    10,827.69x = 14,934.83 × 9,719.61
  4. Step 4: Simplify right side
    10,827.69x = 145,160,674.42
  5. Step 5: Solve for x
    x = 145,160,674.42/10,827.69
  6. Step 6: Final answer
    x = 13,406.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.