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Finding the Fourth Proportional to 9,986.66, 14,982.29 and 2,966.51

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Solution

The fourth proportional to 9,986.66, 14,982.29 and 2,966.51 is: 4,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.66 : 14,982.29 = 2,966.51 : x
  2. Step 2: Convert to fraction form
    9,986.66/14,982.29 = 2,966.51/x
  3. Step 3: Cross multiply
    9,986.66x = 14,982.29 × 2,966.51
  4. Step 4: Simplify right side
    9,986.66x = 44,445,135.73
  5. Step 5: Solve for x
    x = 44,445,135.73/9,986.66
  6. Step 6: Final answer
    x = 4,450.45

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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.