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Finding the Fourth Proportional to 6,434.64, 8,867.66 and 5,157.06

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Solution

The fourth proportional to 6,434.64, 8,867.66 and 5,157.06 is: 7,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.64 : 8,867.66 = 5,157.06 : x
  2. Step 2: Convert to fraction form
    6,434.64/8,867.66 = 5,157.06/x
  3. Step 3: Cross multiply
    6,434.64x = 8,867.66 × 5,157.06
  4. Step 4: Simplify right side
    6,434.64x = 45,731,054.68
  5. Step 5: Solve for x
    x = 45,731,054.68/6,434.64
  6. Step 6: Final answer
    x = 7,107.01

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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.