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Finding the Fourth Proportional to 9,422.58, 13,004.76 and 5,446.00

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Solution

The fourth proportional to 9,422.58, 13,004.76 and 5,446.00 is: 7,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.58 : 13,004.76 = 5,446.00 : x
  2. Step 2: Convert to fraction form
    9,422.58/13,004.76 = 5,446.00/x
  3. Step 3: Cross multiply
    9,422.58x = 13,004.76 × 5,446.00
  4. Step 4: Simplify right side
    9,422.58x = 70,823,890.45
  5. Step 5: Solve for x
    x = 70,823,890.45/9,422.58
  6. Step 6: Final answer
    x = 7,516.40

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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.