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Finding the Fourth Proportional to 9,701.54, 14,550.87 and 3,126.86

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Solution

The fourth proportional to 9,701.54, 14,550.87 and 3,126.86 is: 4,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.54 : 14,550.87 = 3,126.86 : x
  2. Step 2: Convert to fraction form
    9,701.54/14,550.87 = 3,126.86/x
  3. Step 3: Cross multiply
    9,701.54x = 14,550.87 × 3,126.86
  4. Step 4: Simplify right side
    9,701.54x = 45,498,533.37
  5. Step 5: Solve for x
    x = 45,498,533.37/9,701.54
  6. Step 6: Final answer
    x = 4,689.83

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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.