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Finding the Fourth Proportional to 9,212.77, 12,710.02 and 5,669.83

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Solution

The fourth proportional to 9,212.77, 12,710.02 and 5,669.83 is: 7,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.77 : 12,710.02 = 5,669.83 : x
  2. Step 2: Convert to fraction form
    9,212.77/12,710.02 = 5,669.83/x
  3. Step 3: Cross multiply
    9,212.77x = 12,710.02 × 5,669.83
  4. Step 4: Simplify right side
    9,212.77x = 72,063,652.70
  5. Step 5: Solve for x
    x = 72,063,652.70/9,212.77
  6. Step 6: Final answer
    x = 7,822.15

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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.