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Finding the Fourth Proportional to 9,205.67, 13,782.77 and 4,973.76

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Solution

The fourth proportional to 9,205.67, 13,782.77 and 4,973.76 is: 7,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.67 : 13,782.77 = 4,973.76 : x
  2. Step 2: Convert to fraction form
    9,205.67/13,782.77 = 4,973.76/x
  3. Step 3: Cross multiply
    9,205.67x = 13,782.77 × 4,973.76
  4. Step 4: Simplify right side
    9,205.67x = 68,552,190.58
  5. Step 5: Solve for x
    x = 68,552,190.58/9,205.67
  6. Step 6: Final answer
    x = 7,446.74

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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.