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Finding the Fourth Proportional to 9,758.25, 13,466.39 and 7,107.91

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Solution

The fourth proportional to 9,758.25, 13,466.39 and 7,107.91 is: 9,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.25 : 13,466.39 = 7,107.91 : x
  2. Step 2: Convert to fraction form
    9,758.25/13,466.39 = 7,107.91/x
  3. Step 3: Cross multiply
    9,758.25x = 13,466.39 × 7,107.91
  4. Step 4: Simplify right side
    9,758.25x = 95,717,818.94
  5. Step 5: Solve for x
    x = 95,717,818.94/9,758.25
  6. Step 6: Final answer
    x = 9,808.91

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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.