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Finding the Fourth Proportional to 9,606.49, 13,257.05 and 5,358.04

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Solution

The fourth proportional to 9,606.49, 13,257.05 and 5,358.04 is: 7,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.49 : 13,257.05 = 5,358.04 : x
  2. Step 2: Convert to fraction form
    9,606.49/13,257.05 = 5,358.04/x
  3. Step 3: Cross multiply
    9,606.49x = 13,257.05 × 5,358.04
  4. Step 4: Simplify right side
    9,606.49x = 71,031,744.25
  5. Step 5: Solve for x
    x = 71,031,744.25/9,606.49
  6. Step 6: Final answer
    x = 7,394.14

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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.