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Finding the Fourth Proportional to 9,570.56, 13,214.40 and 5,849.60

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Solution

The fourth proportional to 9,570.56, 13,214.40 and 5,849.60 is: 8,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.56 : 13,214.40 = 5,849.60 : x
  2. Step 2: Convert to fraction form
    9,570.56/13,214.40 = 5,849.60/x
  3. Step 3: Cross multiply
    9,570.56x = 13,214.40 × 5,849.60
  4. Step 4: Simplify right side
    9,570.56x = 77,298,954.24
  5. Step 5: Solve for x
    x = 77,298,954.24/9,570.56
  6. Step 6: Final answer
    x = 8,076.74

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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.