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Finding the Fourth Proportional to 9,321.85, 12,859.31 and 5,778.91

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Solution

The fourth proportional to 9,321.85, 12,859.31 and 5,778.91 is: 7,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.85 : 12,859.31 = 5,778.91 : x
  2. Step 2: Convert to fraction form
    9,321.85/12,859.31 = 5,778.91/x
  3. Step 3: Cross multiply
    9,321.85x = 12,859.31 × 5,778.91
  4. Step 4: Simplify right side
    9,321.85x = 74,312,734.11
  5. Step 5: Solve for x
    x = 74,312,734.11/9,321.85
  6. Step 6: Final answer
    x = 7,971.89

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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.