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Finding the Fourth Proportional to 9,994.69, 13,783.77 and 6,454.18

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Solution

The fourth proportional to 9,994.69, 13,783.77 and 6,454.18 is: 8,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.69 : 13,783.77 = 6,454.18 : x
  2. Step 2: Convert to fraction form
    9,994.69/13,783.77 = 6,454.18/x
  3. Step 3: Cross multiply
    9,994.69x = 13,783.77 × 6,454.18
  4. Step 4: Simplify right side
    9,994.69x = 88,962,932.66
  5. Step 5: Solve for x
    x = 88,962,932.66/9,994.69
  6. Step 6: Final answer
    x = 8,901.02

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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.