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Finding the Fourth Proportional to 12,339.21, 18,497.62 and 6,409.17

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Solution

The fourth proportional to 12,339.21, 18,497.62 and 6,409.17 is: 9,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.21 : 18,497.62 = 6,409.17 : x
  2. Step 2: Convert to fraction form
    12,339.21/18,497.62 = 6,409.17/x
  3. Step 3: Cross multiply
    12,339.21x = 18,497.62 × 6,409.17
  4. Step 4: Simplify right side
    12,339.21x = 118,554,266.64
  5. Step 5: Solve for x
    x = 118,554,266.64/12,339.21
  6. Step 6: Final answer
    x = 9,607.93

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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.