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Finding the Fourth Proportional to 9,422.46, 13,004.73 and 6,064.74

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Solution

The fourth proportional to 9,422.46, 13,004.73 and 6,064.74 is: 8,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.46 : 13,004.73 = 6,064.74 : x
  2. Step 2: Convert to fraction form
    9,422.46/13,004.73 = 6,064.74/x
  3. Step 3: Cross multiply
    9,422.46x = 13,004.73 × 6,064.74
  4. Step 4: Simplify right side
    9,422.46x = 78,870,306.22
  5. Step 5: Solve for x
    x = 78,870,306.22/9,422.46
  6. Step 6: Final answer
    x = 8,370.46

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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.