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Finding the Fourth Proportional to 12,379.86, 17,084.06 and 6,714.50

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Solution

The fourth proportional to 12,379.86, 17,084.06 and 6,714.50 is: 9,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379.86 : 17,084.06 = 6,714.50 : x
  2. Step 2: Convert to fraction form
    12,379.86/17,084.06 = 6,714.50/x
  3. Step 3: Cross multiply
    12,379.86x = 17,084.06 × 6,714.50
  4. Step 4: Simplify right side
    12,379.86x = 114,710,980.37
  5. Step 5: Solve for x
    x = 114,710,980.37/12,379.86
  6. Step 6: Final answer
    x = 9,265.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.