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Finding the Fourth Proportional to 6,521.36, 9,763.42 and 6,107.57

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Solution

The fourth proportional to 6,521.36, 9,763.42 and 6,107.57 is: 9,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.36 : 9,763.42 = 6,107.57 : x
  2. Step 2: Convert to fraction form
    6,521.36/9,763.42 = 6,107.57/x
  3. Step 3: Cross multiply
    6,521.36x = 9,763.42 × 6,107.57
  4. Step 4: Simplify right side
    6,521.36x = 59,630,731.89
  5. Step 5: Solve for x
    x = 59,630,731.89/6,521.36
  6. Step 6: Final answer
    x = 9,143.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.