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Finding the Fourth Proportional to 9,796.16, 13,518.32 and 5,319.82

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Solution

The fourth proportional to 9,796.16, 13,518.32 and 5,319.82 is: 7,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.16 : 13,518.32 = 5,319.82 : x
  2. Step 2: Convert to fraction form
    9,796.16/13,518.32 = 5,319.82/x
  3. Step 3: Cross multiply
    9,796.16x = 13,518.32 × 5,319.82
  4. Step 4: Simplify right side
    9,796.16x = 71,915,029.10
  5. Step 5: Solve for x
    x = 71,915,029.10/9,796.16
  6. Step 6: Final answer
    x = 7,341.14

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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.