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Finding the Fourth Proportional to 9,752.94, 14,630.63 and 3,177.36

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Solution

The fourth proportional to 9,752.94, 14,630.63 and 3,177.36 is: 4,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.94 : 14,630.63 = 3,177.36 : x
  2. Step 2: Convert to fraction form
    9,752.94/14,630.63 = 3,177.36/x
  3. Step 3: Cross multiply
    9,752.94x = 14,630.63 × 3,177.36
  4. Step 4: Simplify right side
    9,752.94x = 46,486,762.65
  5. Step 5: Solve for x
    x = 46,486,762.65/9,752.94
  6. Step 6: Final answer
    x = 4,766.44

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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.