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Finding the Fourth Proportional to 9,581.60, 13,215.48 and 8,460.56

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Solution

The fourth proportional to 9,581.60, 13,215.48 and 8,460.56 is: 11,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.60 : 13,215.48 = 8,460.56 : x
  2. Step 2: Convert to fraction form
    9,581.60/13,215.48 = 8,460.56/x
  3. Step 3: Cross multiply
    9,581.60x = 13,215.48 × 8,460.56
  4. Step 4: Simplify right side
    9,581.60x = 111,810,361.47
  5. Step 5: Solve for x
    x = 111,810,361.47/9,581.60
  6. Step 6: Final answer
    x = 11,669.28

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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.