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Finding the Fourth Proportional to 9,319.78, 12,861.72 and 5,784.13

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Solution

The fourth proportional to 9,319.78, 12,861.72 and 5,784.13 is: 7,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.78 : 12,861.72 = 5,784.13 : x
  2. Step 2: Convert to fraction form
    9,319.78/12,861.72 = 5,784.13/x
  3. Step 3: Cross multiply
    9,319.78x = 12,861.72 × 5,784.13
  4. Step 4: Simplify right side
    9,319.78x = 74,393,860.50
  5. Step 5: Solve for x
    x = 74,393,860.50/9,319.78
  6. Step 6: Final answer
    x = 7,982.36

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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.