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Finding the Fourth Proportional to 9,031.41, 12,459.19 and 5,845.73

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Solution

The fourth proportional to 9,031.41, 12,459.19 and 5,845.73 is: 8,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.41 : 12,459.19 = 5,845.73 : x
  2. Step 2: Convert to fraction form
    9,031.41/12,459.19 = 5,845.73/x
  3. Step 3: Cross multiply
    9,031.41x = 12,459.19 × 5,845.73
  4. Step 4: Simplify right side
    9,031.41x = 72,833,030.57
  5. Step 5: Solve for x
    x = 72,833,030.57/9,031.41
  6. Step 6: Final answer
    x = 8,064.41

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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.