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Finding the Fourth Proportional to 9,258.67, 12,776.94 and 5,009.71

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Solution

The fourth proportional to 9,258.67, 12,776.94 and 5,009.71 is: 6,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.67 : 12,776.94 = 5,009.71 : x
  2. Step 2: Convert to fraction form
    9,258.67/12,776.94 = 5,009.71/x
  3. Step 3: Cross multiply
    9,258.67x = 12,776.94 × 5,009.71
  4. Step 4: Simplify right side
    9,258.67x = 64,008,739.04
  5. Step 5: Solve for x
    x = 64,008,739.04/9,258.67
  6. Step 6: Final answer
    x = 6,913.39

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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.