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Finding the Fourth Proportional to 9,040.71, 12,463.34 and 6,646.46

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Solution

The fourth proportional to 9,040.71, 12,463.34 and 6,646.46 is: 9,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040.71 : 12,463.34 = 6,646.46 : x
  2. Step 2: Convert to fraction form
    9,040.71/12,463.34 = 6,646.46/x
  3. Step 3: Cross multiply
    9,040.71x = 12,463.34 × 6,646.46
  4. Step 4: Simplify right side
    9,040.71x = 82,837,009.25
  5. Step 5: Solve for x
    x = 82,837,009.25/9,040.71
  6. Step 6: Final answer
    x = 9,162.67

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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.