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Finding the Fourth Proportional to 9,986.96, 13,782.34 and 6,210.56

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Solution

The fourth proportional to 9,986.96, 13,782.34 and 6,210.56 is: 8,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.96 : 13,782.34 = 6,210.56 : x
  2. Step 2: Convert to fraction form
    9,986.96/13,782.34 = 6,210.56/x
  3. Step 3: Cross multiply
    9,986.96x = 13,782.34 × 6,210.56
  4. Step 4: Simplify right side
    9,986.96x = 85,596,049.51
  5. Step 5: Solve for x
    x = 85,596,049.51/9,986.96
  6. Step 6: Final answer
    x = 8,570.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.