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Finding the Fourth Proportional to 6,570.22, 9,066.93 and 3,586.12

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Solution

The fourth proportional to 6,570.22, 9,066.93 and 3,586.12 is: 4,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.22 : 9,066.93 = 3,586.12 : x
  2. Step 2: Convert to fraction form
    6,570.22/9,066.93 = 3,586.12/x
  3. Step 3: Cross multiply
    6,570.22x = 9,066.93 × 3,586.12
  4. Step 4: Simplify right side
    6,570.22x = 32,515,099.01
  5. Step 5: Solve for x
    x = 32,515,099.01/6,570.22
  6. Step 6: Final answer
    x = 4,948.86

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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.