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Finding the Fourth Proportional to 9,286.64, 12,815.58 and 5,094.92

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Solution

The fourth proportional to 9,286.64, 12,815.58 and 5,094.92 is: 7,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.64 : 12,815.58 = 5,094.92 : x
  2. Step 2: Convert to fraction form
    9,286.64/12,815.58 = 5,094.92/x
  3. Step 3: Cross multiply
    9,286.64x = 12,815.58 × 5,094.92
  4. Step 4: Simplify right side
    9,286.64x = 65,294,354.85
  5. Step 5: Solve for x
    x = 65,294,354.85/9,286.64
  6. Step 6: Final answer
    x = 7,031.00

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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.