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Finding the Fourth Proportional to 9,760.90, 14,630.85 and 4,216.87

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Solution

The fourth proportional to 9,760.90, 14,630.85 and 4,216.87 is: 6,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.90 : 14,630.85 = 4,216.87 : x
  2. Step 2: Convert to fraction form
    9,760.90/14,630.85 = 4,216.87/x
  3. Step 3: Cross multiply
    9,760.90x = 14,630.85 × 4,216.87
  4. Step 4: Simplify right side
    9,760.90x = 61,696,392.44
  5. Step 5: Solve for x
    x = 61,696,392.44/9,760.90
  6. Step 6: Final answer
    x = 6,320.77

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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.