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Finding the Fourth Proportional to 9,182.94, 12,652.90 and 6,193.56

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Solution

The fourth proportional to 9,182.94, 12,652.90 and 6,193.56 is: 8,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.94 : 12,652.90 = 6,193.56 : x
  2. Step 2: Convert to fraction form
    9,182.94/12,652.90 = 6,193.56/x
  3. Step 3: Cross multiply
    9,182.94x = 12,652.90 × 6,193.56
  4. Step 4: Simplify right side
    9,182.94x = 78,366,495.32
  5. Step 5: Solve for x
    x = 78,366,495.32/9,182.94
  6. Step 6: Final answer
    x = 8,533.92

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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.