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Finding the Fourth Proportional to 10,538.63, 14,609.90 and 9,976.84

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Solution

The fourth proportional to 10,538.63, 14,609.90 and 9,976.84 is: 13,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.63 : 14,609.90 = 9,976.84 : x
  2. Step 2: Convert to fraction form
    10,538.63/14,609.90 = 9,976.84/x
  3. Step 3: Cross multiply
    10,538.63x = 14,609.90 × 9,976.84
  4. Step 4: Simplify right side
    10,538.63x = 145,760,561.67
  5. Step 5: Solve for x
    x = 145,760,561.67/10,538.63
  6. Step 6: Final answer
    x = 13,831.07

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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.