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Finding the Fourth Proportional to 9,647.52, 14,474.76 and 3,800.88

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Solution

The fourth proportional to 9,647.52, 14,474.76 and 3,800.88 is: 5,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.52 : 14,474.76 = 3,800.88 : x
  2. Step 2: Convert to fraction form
    9,647.52/14,474.76 = 3,800.88/x
  3. Step 3: Cross multiply
    9,647.52x = 14,474.76 × 3,800.88
  4. Step 4: Simplify right side
    9,647.52x = 55,016,825.79
  5. Step 5: Solve for x
    x = 55,016,825.79/9,647.52
  6. Step 6: Final answer
    x = 5,702.69

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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.