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Finding the Fourth Proportional to 9,582.71, 13,231.35 and 9,429.62

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Solution

The fourth proportional to 9,582.71, 13,231.35 and 9,429.62 is: 13,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.71 : 13,231.35 = 9,429.62 : x
  2. Step 2: Convert to fraction form
    9,582.71/13,231.35 = 9,429.62/x
  3. Step 3: Cross multiply
    9,582.71x = 13,231.35 × 9,429.62
  4. Step 4: Simplify right side
    9,582.71x = 124,766,536.43
  5. Step 5: Solve for x
    x = 124,766,536.43/9,582.71
  6. Step 6: Final answer
    x = 13,019.97

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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.