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Finding the Fourth Proportional to 9,148.49, 12,620.27 and 5,785.64

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Solution

The fourth proportional to 9,148.49, 12,620.27 and 5,785.64 is: 7,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.49 : 12,620.27 = 5,785.64 : x
  2. Step 2: Convert to fraction form
    9,148.49/12,620.27 = 5,785.64/x
  3. Step 3: Cross multiply
    9,148.49x = 12,620.27 × 5,785.64
  4. Step 4: Simplify right side
    9,148.49x = 73,016,246.89
  5. Step 5: Solve for x
    x = 73,016,246.89/9,148.49
  6. Step 6: Final answer
    x = 7,981.24

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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.