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Finding the Fourth Proportional to 9,077.47, 13,602.33 and 3,809.62

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Solution

The fourth proportional to 9,077.47, 13,602.33 and 3,809.62 is: 5,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.47 : 13,602.33 = 3,809.62 : x
  2. Step 2: Convert to fraction form
    9,077.47/13,602.33 = 3,809.62/x
  3. Step 3: Cross multiply
    9,077.47x = 13,602.33 × 3,809.62
  4. Step 4: Simplify right side
    9,077.47x = 51,819,708.41
  5. Step 5: Solve for x
    x = 51,819,708.41/9,077.47
  6. Step 6: Final answer
    x = 5,708.61

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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.