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Finding the Fourth Proportional to 9,605.93, 14,407.67 and 3,032.78

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Solution

The fourth proportional to 9,605.93, 14,407.67 and 3,032.78 is: 4,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.93 : 14,407.67 = 3,032.78 : x
  2. Step 2: Convert to fraction form
    9,605.93/14,407.67 = 3,032.78/x
  3. Step 3: Cross multiply
    9,605.93x = 14,407.67 × 3,032.78
  4. Step 4: Simplify right side
    9,605.93x = 43,695,228.97
  5. Step 5: Solve for x
    x = 43,695,228.97/9,605.93
  6. Step 6: Final answer
    x = 4,548.78

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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.