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Finding the Fourth Proportional to 9,994.64, 13,783.68 and 6,454.13

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Solution

The fourth proportional to 9,994.64, 13,783.68 and 6,454.13 is: 8,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.64 : 13,783.68 = 6,454.13 : x
  2. Step 2: Convert to fraction form
    9,994.64/13,783.68 = 6,454.13/x
  3. Step 3: Cross multiply
    9,994.64x = 13,783.68 × 6,454.13
  4. Step 4: Simplify right side
    9,994.64x = 88,961,593.68
  5. Step 5: Solve for x
    x = 88,961,593.68/9,994.64
  6. Step 6: Final answer
    x = 8,900.93

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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.