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Finding the Fourth Proportional to 9,586.06, 13,226.78 and 5,606.40

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Solution

The fourth proportional to 9,586.06, 13,226.78 and 5,606.40 is: 7,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.06 : 13,226.78 = 5,606.40 : x
  2. Step 2: Convert to fraction form
    9,586.06/13,226.78 = 5,606.40/x
  3. Step 3: Cross multiply
    9,586.06x = 13,226.78 × 5,606.40
  4. Step 4: Simplify right side
    9,586.06x = 74,154,619.39
  5. Step 5: Solve for x
    x = 74,154,619.39/9,586.06
  6. Step 6: Final answer
    x = 7,735.67

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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.