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Finding the Fourth Proportional to 9,605.36, 14,407.51 and 3,685.08

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Solution

The fourth proportional to 9,605.36, 14,407.51 and 3,685.08 is: 5,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.36 : 14,407.51 = 3,685.08 : x
  2. Step 2: Convert to fraction form
    9,605.36/14,407.51 = 3,685.08/x
  3. Step 3: Cross multiply
    9,605.36x = 14,407.51 × 3,685.08
  4. Step 4: Simplify right side
    9,605.36x = 53,092,826.95
  5. Step 5: Solve for x
    x = 53,092,826.95/9,605.36
  6. Step 6: Final answer
    x = 5,527.42

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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.