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Finding the Fourth Proportional to 9,983.86, 14,970.17 and 3,316.79

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Solution

The fourth proportional to 9,983.86, 14,970.17 and 3,316.79 is: 4,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.86 : 14,970.17 = 3,316.79 : x
  2. Step 2: Convert to fraction form
    9,983.86/14,970.17 = 3,316.79/x
  3. Step 3: Cross multiply
    9,983.86x = 14,970.17 × 3,316.79
  4. Step 4: Simplify right side
    9,983.86x = 49,652,910.15
  5. Step 5: Solve for x
    x = 49,652,910.15/9,983.86
  6. Step 6: Final answer
    x = 4,973.32

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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.