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Finding the Fourth Proportional to 9,643.50, 13,306.68 and 5,394.34

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Solution

The fourth proportional to 9,643.50, 13,306.68 and 5,394.34 is: 7,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.50 : 13,306.68 = 5,394.34 : x
  2. Step 2: Convert to fraction form
    9,643.50/13,306.68 = 5,394.34/x
  3. Step 3: Cross multiply
    9,643.50x = 13,306.68 × 5,394.34
  4. Step 4: Simplify right side
    9,643.50x = 71,780,756.19
  5. Step 5: Solve for x
    x = 71,780,756.19/9,643.50
  6. Step 6: Final answer
    x = 7,443.43

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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.