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Finding the Fourth Proportional to 9,780.14, 14,672.94 and 3,210.94

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Solution

The fourth proportional to 9,780.14, 14,672.94 and 3,210.94 is: 4,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.14 : 14,672.94 = 3,210.94 : x
  2. Step 2: Convert to fraction form
    9,780.14/14,672.94 = 3,210.94/x
  3. Step 3: Cross multiply
    9,780.14x = 14,672.94 × 3,210.94
  4. Step 4: Simplify right side
    9,780.14x = 47,113,893.28
  5. Step 5: Solve for x
    x = 47,113,893.28/9,780.14
  6. Step 6: Final answer
    x = 4,817.31

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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.