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Finding the Fourth Proportional to 9,319.44, 12,858.25 and 6,483.63

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Solution

The fourth proportional to 9,319.44, 12,858.25 and 6,483.63 is: 8,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.44 : 12,858.25 = 6,483.63 : x
  2. Step 2: Convert to fraction form
    9,319.44/12,858.25 = 6,483.63/x
  3. Step 3: Cross multiply
    9,319.44x = 12,858.25 × 6,483.63
  4. Step 4: Simplify right side
    9,319.44x = 83,368,135.45
  5. Step 5: Solve for x
    x = 83,368,135.45/9,319.44
  6. Step 6: Final answer
    x = 8,945.62

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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.