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Finding the Fourth Proportional to 9,214.63, 13,817.54 and 4,215.51

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Solution

The fourth proportional to 9,214.63, 13,817.54 and 4,215.51 is: 6,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.63 : 13,817.54 = 4,215.51 : x
  2. Step 2: Convert to fraction form
    9,214.63/13,817.54 = 4,215.51/x
  3. Step 3: Cross multiply
    9,214.63x = 13,817.54 × 4,215.51
  4. Step 4: Simplify right side
    9,214.63x = 58,247,988.58
  5. Step 5: Solve for x
    x = 58,247,988.58/9,214.63
  6. Step 6: Final answer
    x = 6,321.25

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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.