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Finding the Fourth Proportional to 10,364.90, 14,282.33 and 9,806.54

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Solution

The fourth proportional to 10,364.90, 14,282.33 and 9,806.54 is: 13,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.90 : 14,282.33 = 9,806.54 : x
  2. Step 2: Convert to fraction form
    10,364.90/14,282.33 = 9,806.54/x
  3. Step 3: Cross multiply
    10,364.90x = 14,282.33 × 9,806.54
  4. Step 4: Simplify right side
    10,364.90x = 140,060,119.99
  5. Step 5: Solve for x
    x = 140,060,119.99/10,364.90
  6. Step 6: Final answer
    x = 13,512.93

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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.