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Finding the Fourth Proportional to 9,316.31, 12,858.90 and 6,484.14

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Solution

The fourth proportional to 9,316.31, 12,858.90 and 6,484.14 is: 8,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.31 : 12,858.90 = 6,484.14 : x
  2. Step 2: Convert to fraction form
    9,316.31/12,858.90 = 6,484.14/x
  3. Step 3: Cross multiply
    9,316.31x = 12,858.90 × 6,484.14
  4. Step 4: Simplify right side
    9,316.31x = 83,378,907.85
  5. Step 5: Solve for x
    x = 83,378,907.85/9,316.31
  6. Step 6: Final answer
    x = 8,949.78

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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.