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Finding the Fourth Proportional to 9,768.10, 13,479.96 and 5,291.96

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Solution

The fourth proportional to 9,768.10, 13,479.96 and 5,291.96 is: 7,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.10 : 13,479.96 = 5,291.96 : x
  2. Step 2: Convert to fraction form
    9,768.10/13,479.96 = 5,291.96/x
  3. Step 3: Cross multiply
    9,768.10x = 13,479.96 × 5,291.96
  4. Step 4: Simplify right side
    9,768.10x = 71,335,442.82
  5. Step 5: Solve for x
    x = 71,335,442.82/9,768.10
  6. Step 6: Final answer
    x = 7,302.90

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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.