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Finding the Fourth Proportional to 6,570.09, 9,849.60 and 2,869.50

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Solution

The fourth proportional to 6,570.09, 9,849.60 and 2,869.50 is: 4,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.09 : 9,849.60 = 2,869.50 : x
  2. Step 2: Convert to fraction form
    6,570.09/9,849.60 = 2,869.50/x
  3. Step 3: Cross multiply
    6,570.09x = 9,849.60 × 2,869.50
  4. Step 4: Simplify right side
    6,570.09x = 28,263,427.20
  5. Step 5: Solve for x
    x = 28,263,427.20/6,570.09
  6. Step 6: Final answer
    x = 4,301.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.