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Finding the Fourth Proportional to 9,389.26, 12,957.06 and 5,663.26

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Solution

The fourth proportional to 9,389.26, 12,957.06 and 5,663.26 is: 7,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.26 : 12,957.06 = 5,663.26 : x
  2. Step 2: Convert to fraction form
    9,389.26/12,957.06 = 5,663.26/x
  3. Step 3: Cross multiply
    9,389.26x = 12,957.06 × 5,663.26
  4. Step 4: Simplify right side
    9,389.26x = 73,379,199.62
  5. Step 5: Solve for x
    x = 73,379,199.62/9,389.26
  6. Step 6: Final answer
    x = 7,815.23

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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.