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Finding the Fourth Proportional to 9,243.63, 13,855.86 and 4,309.21

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Solution

The fourth proportional to 9,243.63, 13,855.86 and 4,309.21 is: 6,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.63 : 13,855.86 = 4,309.21 : x
  2. Step 2: Convert to fraction form
    9,243.63/13,855.86 = 4,309.21/x
  3. Step 3: Cross multiply
    9,243.63x = 13,855.86 × 4,309.21
  4. Step 4: Simplify right side
    9,243.63x = 59,707,810.47
  5. Step 5: Solve for x
    x = 59,707,810.47/9,243.63
  6. Step 6: Final answer
    x = 6,459.35

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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.