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Finding the Fourth Proportional to 9,476.51, 13,078.46 and 5,443.91

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Solution

The fourth proportional to 9,476.51, 13,078.46 and 5,443.91 is: 7,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.51 : 13,078.46 = 5,443.91 : x
  2. Step 2: Convert to fraction form
    9,476.51/13,078.46 = 5,443.91/x
  3. Step 3: Cross multiply
    9,476.51x = 13,078.46 × 5,443.91
  4. Step 4: Simplify right side
    9,476.51x = 71,197,956.44
  5. Step 5: Solve for x
    x = 71,197,956.44/9,476.51
  6. Step 6: Final answer
    x = 7,513.10

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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.