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Finding the Fourth Proportional to 9,532.81, 13,150.89 and 6,176.74

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Solution

The fourth proportional to 9,532.81, 13,150.89 and 6,176.74 is: 8,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.81 : 13,150.89 = 6,176.74 : x
  2. Step 2: Convert to fraction form
    9,532.81/13,150.89 = 6,176.74/x
  3. Step 3: Cross multiply
    9,532.81x = 13,150.89 × 6,176.74
  4. Step 4: Simplify right side
    9,532.81x = 81,229,628.30
  5. Step 5: Solve for x
    x = 81,229,628.30/9,532.81
  6. Step 6: Final answer
    x = 8,521.06

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