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Finding the Fourth Proportional to 9,657.09, 14,486.82 and 3,415.81

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Solution

The fourth proportional to 9,657.09, 14,486.82 and 3,415.81 is: 5,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.09 : 14,486.82 = 3,415.81 : x
  2. Step 2: Convert to fraction form
    9,657.09/14,486.82 = 3,415.81/x
  3. Step 3: Cross multiply
    9,657.09x = 14,486.82 × 3,415.81
  4. Step 4: Simplify right side
    9,657.09x = 49,484,224.62
  5. Step 5: Solve for x
    x = 49,484,224.62/9,657.09
  6. Step 6: Final answer
    x = 5,124.13

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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.