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Finding the Fourth Proportional to 9,042.70, 13,537.65 and 6,450.70

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Solution

The fourth proportional to 9,042.70, 13,537.65 and 6,450.70 is: 9,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.70 : 13,537.65 = 6,450.70 : x
  2. Step 2: Convert to fraction form
    9,042.70/13,537.65 = 6,450.70/x
  3. Step 3: Cross multiply
    9,042.70x = 13,537.65 × 6,450.70
  4. Step 4: Simplify right side
    9,042.70x = 87,327,318.86
  5. Step 5: Solve for x
    x = 87,327,318.86/9,042.70
  6. Step 6: Final answer
    x = 9,657.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.