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Finding the Fourth Proportional to 9,443.66, 13,034.72 and 6,458.40

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Solution

The fourth proportional to 9,443.66, 13,034.72 and 6,458.40 is: 8,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.66 : 13,034.72 = 6,458.40 : x
  2. Step 2: Convert to fraction form
    9,443.66/13,034.72 = 6,458.40/x
  3. Step 3: Cross multiply
    9,443.66x = 13,034.72 × 6,458.40
  4. Step 4: Simplify right side
    9,443.66x = 84,183,451.79
  5. Step 5: Solve for x
    x = 84,183,451.79/9,443.66
  6. Step 6: Final answer
    x = 8,914.29

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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.