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Finding the Fourth Proportional to 9,752.38, 14,630.08 and 3,177.02

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Solution

The fourth proportional to 9,752.38, 14,630.08 and 3,177.02 is: 4,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.38 : 14,630.08 = 3,177.02 : x
  2. Step 2: Convert to fraction form
    9,752.38/14,630.08 = 3,177.02/x
  3. Step 3: Cross multiply
    9,752.38x = 14,630.08 × 3,177.02
  4. Step 4: Simplify right side
    9,752.38x = 46,480,056.76
  5. Step 5: Solve for x
    x = 46,480,056.76/9,752.38
  6. Step 6: Final answer
    x = 4,766.02

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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.