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Finding the Fourth Proportional to 9,606.42, 13,151.21 and 9,541.62

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Solution

The fourth proportional to 9,606.42, 13,151.21 and 9,541.62 is: 13,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.42 : 13,151.21 = 9,541.62 : x
  2. Step 2: Convert to fraction form
    9,606.42/13,151.21 = 9,541.62/x
  3. Step 3: Cross multiply
    9,606.42x = 13,151.21 × 9,541.62
  4. Step 4: Simplify right side
    9,606.42x = 125,483,800.65
  5. Step 5: Solve for x
    x = 125,483,800.65/9,606.42
  6. Step 6: Final answer
    x = 13,062.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.