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Finding the Fourth Proportional to 10,328.62, 14,326.61 and 9,974.58

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Solution

The fourth proportional to 10,328.62, 14,326.61 and 9,974.58 is: 13,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.62 : 14,326.61 = 9,974.58 : x
  2. Step 2: Convert to fraction form
    10,328.62/14,326.61 = 9,974.58/x
  3. Step 3: Cross multiply
    10,328.62x = 14,326.61 × 9,974.58
  4. Step 4: Simplify right side
    10,328.62x = 142,901,917.57
  5. Step 5: Solve for x
    x = 142,901,917.57/10,328.62
  6. Step 6: Final answer
    x = 13,835.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.