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Finding the Fourth Proportional to 9,390.30, 12,961.87 and 5,808

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Solution

The fourth proportional to 9,390.30, 12,961.87 and 5,808 is: 8,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.30 : 12,961.87 = 5,808 : x
  2. Step 2: Convert to fraction form
    9,390.30/12,961.87 = 5,808/x
  3. Step 3: Cross multiply
    9,390.30x = 12,961.87 × 5,808
  4. Step 4: Simplify right side
    9,390.30x = 75,282,540.96
  5. Step 5: Solve for x
    x = 75,282,540.96/9,390.30
  6. Step 6: Final answer
    x = 8,017.05

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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.