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Finding the Fourth Proportional to 9,213.87, 13,823.51 and 2,973.77

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Solution

The fourth proportional to 9,213.87, 13,823.51 and 2,973.77 is: 4,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.87 : 13,823.51 = 2,973.77 : x
  2. Step 2: Convert to fraction form
    9,213.87/13,823.51 = 2,973.77/x
  3. Step 3: Cross multiply
    9,213.87x = 13,823.51 × 2,973.77
  4. Step 4: Simplify right side
    9,213.87x = 41,107,855.35
  5. Step 5: Solve for x
    x = 41,107,855.35/9,213.87
  6. Step 6: Final answer
    x = 4,461.52

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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.