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Finding the Fourth Proportional to 9,843.86, 14,655.99 and 9,705.98

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Solution

The fourth proportional to 9,843.86, 14,655.99 and 9,705.98 is: 14,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.86 : 14,655.99 = 9,705.98 : x
  2. Step 2: Convert to fraction form
    9,843.86/14,655.99 = 9,705.98/x
  3. Step 3: Cross multiply
    9,843.86x = 14,655.99 × 9,705.98
  4. Step 4: Simplify right side
    9,843.86x = 142,250,697.29
  5. Step 5: Solve for x
    x = 142,250,697.29/9,843.86
  6. Step 6: Final answer
    x = 14,450.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.