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Finding the Fourth Proportional to 9,033.98, 13,548.21 and 2,459.31

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Solution

The fourth proportional to 9,033.98, 13,548.21 and 2,459.31 is: 3,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.98 : 13,548.21 = 2,459.31 : x
  2. Step 2: Convert to fraction form
    9,033.98/13,548.21 = 2,459.31/x
  3. Step 3: Cross multiply
    9,033.98x = 13,548.21 × 2,459.31
  4. Step 4: Simplify right side
    9,033.98x = 33,319,248.34
  5. Step 5: Solve for x
    x = 33,319,248.34/9,033.98
  6. Step 6: Final answer
    x = 3,688.22

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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.