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Finding the Fourth Proportional to 9,023.64, 12,446.46 and 5,884.08

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Solution

The fourth proportional to 9,023.64, 12,446.46 and 5,884.08 is: 8,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.64 : 12,446.46 = 5,884.08 : x
  2. Step 2: Convert to fraction form
    9,023.64/12,446.46 = 5,884.08/x
  3. Step 3: Cross multiply
    9,023.64x = 12,446.46 × 5,884.08
  4. Step 4: Simplify right side
    9,023.64x = 73,235,966.36
  5. Step 5: Solve for x
    x = 73,235,966.36/9,023.64
  6. Step 6: Final answer
    x = 8,116.01

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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.