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Finding the Fourth Proportional to 9,573.34, 14,389.29 and 7,940.38

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Solution

The fourth proportional to 9,573.34, 14,389.29 and 7,940.38 is: 11,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.34 : 14,389.29 = 7,940.38 : x
  2. Step 2: Convert to fraction form
    9,573.34/14,389.29 = 7,940.38/x
  3. Step 3: Cross multiply
    9,573.34x = 14,389.29 × 7,940.38
  4. Step 4: Simplify right side
    9,573.34x = 114,256,430.53
  5. Step 5: Solve for x
    x = 114,256,430.53/9,573.34
  6. Step 6: Final answer
    x = 11,934.86

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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.