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Finding the Fourth Proportional to 9,766.02, 14,651.52 and 2,840.52

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Solution

The fourth proportional to 9,766.02, 14,651.52 and 2,840.52 is: 4,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.02 : 14,651.52 = 2,840.52 : x
  2. Step 2: Convert to fraction form
    9,766.02/14,651.52 = 2,840.52/x
  3. Step 3: Cross multiply
    9,766.02x = 14,651.52 × 2,840.52
  4. Step 4: Simplify right side
    9,766.02x = 41,617,935.59
  5. Step 5: Solve for x
    x = 41,617,935.59/9,766.02
  6. Step 6: Final answer
    x = 4,261.50

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Why These Related Problems?

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