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Finding the Fourth Proportional to 9,586.77, 13,159.06 and 8,515.41

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Solution

The fourth proportional to 9,586.77, 13,159.06 and 8,515.41 is: 11,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.77 : 13,159.06 = 8,515.41 : x
  2. Step 2: Convert to fraction form
    9,586.77/13,159.06 = 8,515.41/x
  3. Step 3: Cross multiply
    9,586.77x = 13,159.06 × 8,515.41
  4. Step 4: Simplify right side
    9,586.77x = 112,054,791.11
  5. Step 5: Solve for x
    x = 112,054,791.11/9,586.77
  6. Step 6: Final answer
    x = 11,688.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.