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Finding the Fourth Proportional to 9,974.07, 13,762.71 and 5,666.90

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Solution

The fourth proportional to 9,974.07, 13,762.71 and 5,666.90 is: 7,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.07 : 13,762.71 = 5,666.90 : x
  2. Step 2: Convert to fraction form
    9,974.07/13,762.71 = 5,666.90/x
  3. Step 3: Cross multiply
    9,974.07x = 13,762.71 × 5,666.90
  4. Step 4: Simplify right side
    9,974.07x = 77,991,832.49
  5. Step 5: Solve for x
    x = 77,991,832.49/9,974.07
  6. Step 6: Final answer
    x = 7,819.46

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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.