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Finding the Fourth Proportional to 6,899.34, 9,523.26 and 4,066.58

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Solution

The fourth proportional to 6,899.34, 9,523.26 and 4,066.58 is: 5,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.34 : 9,523.26 = 4,066.58 : x
  2. Step 2: Convert to fraction form
    6,899.34/9,523.26 = 4,066.58/x
  3. Step 3: Cross multiply
    6,899.34x = 9,523.26 × 4,066.58
  4. Step 4: Simplify right side
    6,899.34x = 38,727,051.03
  5. Step 5: Solve for x
    x = 38,727,051.03/6,899.34
  6. Step 6: Final answer
    x = 5,613.15

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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.