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Finding the Fourth Proportional to 9,301.64, 12,838.08 and 5,766.44

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Solution

The fourth proportional to 9,301.64, 12,838.08 and 5,766.44 is: 7,958.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.64 : 12,838.08 = 5,766.44 : x
  2. Step 2: Convert to fraction form
    9,301.64/12,838.08 = 5,766.44/x
  3. Step 3: Cross multiply
    9,301.64x = 12,838.08 × 5,766.44
  4. Step 4: Simplify right side
    9,301.64x = 74,030,018.04
  5. Step 5: Solve for x
    x = 74,030,018.04/9,301.64
  6. Step 6: Final answer
    x = 7,958.81

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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.