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Finding the Fourth Proportional to 9,206.76, 12,701.28 and 6,221.50

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Solution

The fourth proportional to 9,206.76, 12,701.28 and 6,221.50 is: 8,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.76 : 12,701.28 = 6,221.50 : x
  2. Step 2: Convert to fraction form
    9,206.76/12,701.28 = 6,221.50/x
  3. Step 3: Cross multiply
    9,206.76x = 12,701.28 × 6,221.50
  4. Step 4: Simplify right side
    9,206.76x = 79,021,013.52
  5. Step 5: Solve for x
    x = 79,021,013.52/9,206.76
  6. Step 6: Final answer
    x = 8,582.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.