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Finding the Fourth Proportional to 9,800.29, 14,699.27 and 2,780.93

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Solution

The fourth proportional to 9,800.29, 14,699.27 and 2,780.93 is: 4,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.29 : 14,699.27 = 2,780.93 : x
  2. Step 2: Convert to fraction form
    9,800.29/14,699.27 = 2,780.93/x
  3. Step 3: Cross multiply
    9,800.29x = 14,699.27 × 2,780.93
  4. Step 4: Simplify right side
    9,800.29x = 40,877,684.62
  5. Step 5: Solve for x
    x = 40,877,684.62/9,800.29
  6. Step 6: Final answer
    x = 4,171.07

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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.