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Finding the Fourth Proportional to 8,973.09, 13,444.82 and 5,214.31

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Solution

The fourth proportional to 8,973.09, 13,444.82 and 5,214.31 is: 7,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.09 : 13,444.82 = 5,214.31 : x
  2. Step 2: Convert to fraction form
    8,973.09/13,444.82 = 5,214.31/x
  3. Step 3: Cross multiply
    8,973.09x = 13,444.82 × 5,214.31
  4. Step 4: Simplify right side
    8,973.09x = 70,105,466.91
  5. Step 5: Solve for x
    x = 70,105,466.91/8,973.09
  6. Step 6: Final answer
    x = 7,812.86

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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.