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Finding the Fourth Proportional to 9,808.49, 14,707.78 and 3,232.51

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Solution

The fourth proportional to 9,808.49, 14,707.78 and 3,232.51 is: 4,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.49 : 14,707.78 = 3,232.51 : x
  2. Step 2: Convert to fraction form
    9,808.49/14,707.78 = 3,232.51/x
  3. Step 3: Cross multiply
    9,808.49x = 14,707.78 × 3,232.51
  4. Step 4: Simplify right side
    9,808.49x = 47,543,001.08
  5. Step 5: Solve for x
    x = 47,543,001.08/9,808.49
  6. Step 6: Final answer
    x = 4,847.13

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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.