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Finding the Fourth Proportional to 9,796.10, 13,518.07 and 5,762.30

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Solution

The fourth proportional to 9,796.10, 13,518.07 and 5,762.30 is: 7,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.10 : 13,518.07 = 5,762.30 : x
  2. Step 2: Convert to fraction form
    9,796.10/13,518.07 = 5,762.30/x
  3. Step 3: Cross multiply
    9,796.10x = 13,518.07 × 5,762.30
  4. Step 4: Simplify right side
    9,796.10x = 77,895,194.15
  5. Step 5: Solve for x
    x = 77,895,194.15/9,796.10
  6. Step 6: Final answer
    x = 7,951.65

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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.