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Finding the Fourth Proportional to 9,970.29, 13,758.49 and 5,493.94

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Solution

The fourth proportional to 9,970.29, 13,758.49 and 5,493.94 is: 7,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.29 : 13,758.49 = 5,493.94 : x
  2. Step 2: Convert to fraction form
    9,970.29/13,758.49 = 5,493.94/x
  3. Step 3: Cross multiply
    9,970.29x = 13,758.49 × 5,493.94
  4. Step 4: Simplify right side
    9,970.29x = 75,588,346.62
  5. Step 5: Solve for x
    x = 75,588,346.62/9,970.29
  6. Step 6: Final answer
    x = 7,581.36

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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.