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Finding the Fourth Proportional to 9,941.57, 13,719.31 and 5,404.29

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Solution

The fourth proportional to 9,941.57, 13,719.31 and 5,404.29 is: 7,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.57 : 13,719.31 = 5,404.29 : x
  2. Step 2: Convert to fraction form
    9,941.57/13,719.31 = 5,404.29/x
  3. Step 3: Cross multiply
    9,941.57x = 13,719.31 × 5,404.29
  4. Step 4: Simplify right side
    9,941.57x = 74,143,061.24
  5. Step 5: Solve for x
    x = 74,143,061.24/9,941.57
  6. Step 6: Final answer
    x = 7,457.89

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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.