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Finding the Fourth Proportional to 9,605.40, 14,409.06 and 3,447.96

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Solution

The fourth proportional to 9,605.40, 14,409.06 and 3,447.96 is: 5,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.40 : 14,409.06 = 3,447.96 : x
  2. Step 2: Convert to fraction form
    9,605.40/14,409.06 = 3,447.96/x
  3. Step 3: Cross multiply
    9,605.40x = 14,409.06 × 3,447.96
  4. Step 4: Simplify right side
    9,605.40x = 49,681,862.52
  5. Step 5: Solve for x
    x = 49,681,862.52/9,605.40
  6. Step 6: Final answer
    x = 5,172.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.