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Finding the Fourth Proportional to 10,289.67, 14,194.53 and 6,506.46

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Solution

The fourth proportional to 10,289.67, 14,194.53 and 6,506.46 is: 8,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.67 : 14,194.53 = 6,506.46 : x
  2. Step 2: Convert to fraction form
    10,289.67/14,194.53 = 6,506.46/x
  3. Step 3: Cross multiply
    10,289.67x = 14,194.53 × 6,506.46
  4. Step 4: Simplify right side
    10,289.67x = 92,356,141.66
  5. Step 5: Solve for x
    x = 92,356,141.66/10,289.67
  6. Step 6: Final answer
    x = 8,975.62

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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.