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Finding the Fourth Proportional to 9,974.31, 13,762.33 and 5,780.13

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Solution

The fourth proportional to 9,974.31, 13,762.33 and 5,780.13 is: 7,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.31 : 13,762.33 = 5,780.13 : x
  2. Step 2: Convert to fraction form
    9,974.31/13,762.33 = 5,780.13/x
  3. Step 3: Cross multiply
    9,974.31x = 13,762.33 × 5,780.13
  4. Step 4: Simplify right side
    9,974.31x = 79,548,056.50
  5. Step 5: Solve for x
    x = 79,548,056.50/9,974.31
  6. Step 6: Final answer
    x = 7,975.29

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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.