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Finding the Fourth Proportional to 9,966.66, 13,739.22 and 6,381.10

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Solution

The fourth proportional to 9,966.66, 13,739.22 and 6,381.10 is: 8,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.66 : 13,739.22 = 6,381.10 : x
  2. Step 2: Convert to fraction form
    9,966.66/13,739.22 = 6,381.10/x
  3. Step 3: Cross multiply
    9,966.66x = 13,739.22 × 6,381.10
  4. Step 4: Simplify right side
    9,966.66x = 87,671,336.74
  5. Step 5: Solve for x
    x = 87,671,336.74/9,966.66
  6. Step 6: Final answer
    x = 8,796.46

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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.