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Finding the Fourth Proportional to 9,585.41, 13,229.73 and 5,606.89

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Solution

The fourth proportional to 9,585.41, 13,229.73 and 5,606.89 is: 7,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.41 : 13,229.73 = 5,606.89 : x
  2. Step 2: Convert to fraction form
    9,585.41/13,229.73 = 5,606.89/x
  3. Step 3: Cross multiply
    9,585.41x = 13,229.73 × 5,606.89
  4. Step 4: Simplify right side
    9,585.41x = 74,177,607.77
  5. Step 5: Solve for x
    x = 74,177,607.77/9,585.41
  6. Step 6: Final answer
    x = 7,738.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.