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Finding the Fourth Proportional to 9,258.14, 12,776.24 and 5,066.40

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Solution

The fourth proportional to 9,258.14, 12,776.24 and 5,066.40 is: 6,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.14 : 12,776.24 = 5,066.40 : x
  2. Step 2: Convert to fraction form
    9,258.14/12,776.24 = 5,066.40/x
  3. Step 3: Cross multiply
    9,258.14x = 12,776.24 × 5,066.40
  4. Step 4: Simplify right side
    9,258.14x = 64,729,542.34
  5. Step 5: Solve for x
    x = 64,729,542.34/9,258.14
  6. Step 6: Final answer
    x = 6,991.64

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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.