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Finding the Fourth Proportional to 8,973.44, 13,461.84 and 2,816

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Solution

The fourth proportional to 8,973.44, 13,461.84 and 2,816 is: 4,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.44 : 13,461.84 = 2,816 : x
  2. Step 2: Convert to fraction form
    8,973.44/13,461.84 = 2,816/x
  3. Step 3: Cross multiply
    8,973.44x = 13,461.84 × 2,816
  4. Step 4: Simplify right side
    8,973.44x = 37,908,541.44
  5. Step 5: Solve for x
    x = 37,908,541.44/8,973.44
  6. Step 6: Final answer
    x = 4,224.53

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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.