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Finding the Fourth Proportional to 9,605.90, 14,407.22 and 3,031.13

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Solution

The fourth proportional to 9,605.90, 14,407.22 and 3,031.13 is: 4,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.90 : 14,407.22 = 3,031.13 : x
  2. Step 2: Convert to fraction form
    9,605.90/14,407.22 = 3,031.13/x
  3. Step 3: Cross multiply
    9,605.90x = 14,407.22 × 3,031.13
  4. Step 4: Simplify right side
    9,605.90x = 43,670,069.57
  5. Step 5: Solve for x
    x = 43,670,069.57/9,605.90
  6. Step 6: Final answer
    x = 4,546.17

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