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Finding the Fourth Proportional to 10,619.46, 15,861.27 and 9,617.31

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Solution

The fourth proportional to 10,619.46, 15,861.27 and 9,617.31 is: 14,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.46 : 15,861.27 = 9,617.31 : x
  2. Step 2: Convert to fraction form
    10,619.46/15,861.27 = 9,617.31/x
  3. Step 3: Cross multiply
    10,619.46x = 15,861.27 × 9,617.31
  4. Step 4: Simplify right side
    10,619.46x = 152,542,750.58
  5. Step 5: Solve for x
    x = 152,542,750.58/10,619.46
  6. Step 6: Final answer
    x = 14,364.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.