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Finding the Fourth Proportional to 9,574.71, 13,212.82 and 5,800.11

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Solution

The fourth proportional to 9,574.71, 13,212.82 and 5,800.11 is: 8,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.71 : 13,212.82 = 5,800.11 : x
  2. Step 2: Convert to fraction form
    9,574.71/13,212.82 = 5,800.11/x
  3. Step 3: Cross multiply
    9,574.71x = 13,212.82 × 5,800.11
  4. Step 4: Simplify right side
    9,574.71x = 76,635,809.41
  5. Step 5: Solve for x
    x = 76,635,809.41/9,574.71
  6. Step 6: Final answer
    x = 8,003.98

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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.