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Finding the Fourth Proportional to 9,316.82, 12,859.20 and 5,911.64

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Solution

The fourth proportional to 9,316.82, 12,859.20 and 5,911.64 is: 8,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.82 : 12,859.20 = 5,911.64 : x
  2. Step 2: Convert to fraction form
    9,316.82/12,859.20 = 5,911.64/x
  3. Step 3: Cross multiply
    9,316.82x = 12,859.20 × 5,911.64
  4. Step 4: Simplify right side
    9,316.82x = 76,018,961.09
  5. Step 5: Solve for x
    x = 76,018,961.09/9,316.82
  6. Step 6: Final answer
    x = 8,159.32

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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.