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Finding the Fourth Proportional to 6,617.64, 9,066.24 and 6,368.58

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Solution

The fourth proportional to 6,617.64, 9,066.24 and 6,368.58 is: 8,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.64 : 9,066.24 = 6,368.58 : x
  2. Step 2: Convert to fraction form
    6,617.64/9,066.24 = 6,368.58/x
  3. Step 3: Cross multiply
    6,617.64x = 9,066.24 × 6,368.58
  4. Step 4: Simplify right side
    6,617.64x = 57,739,074.74
  5. Step 5: Solve for x
    x = 57,739,074.74/6,617.64
  6. Step 6: Final answer
    x = 8,725.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.