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Finding the Fourth Proportional to 6,844.18, 9,444.95 and 3,860.00

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Solution

The fourth proportional to 6,844.18, 9,444.95 and 3,860.00 is: 5,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.18 : 9,444.95 = 3,860.00 : x
  2. Step 2: Convert to fraction form
    6,844.18/9,444.95 = 3,860.00/x
  3. Step 3: Cross multiply
    6,844.18x = 9,444.95 × 3,860.00
  4. Step 4: Simplify right side
    6,844.18x = 36,457,565.21
  5. Step 5: Solve for x
    x = 36,457,565.21/6,844.18
  6. Step 6: Final answer
    x = 5,326.80

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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.