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Finding the Fourth Proportional to 6,459.09, 8,913 and 3,626.07

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Solution

The fourth proportional to 6,459.09, 8,913 and 3,626.07 is: 5,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.09 : 8,913 = 3,626.07 : x
  2. Step 2: Convert to fraction form
    6,459.09/8,913 = 3,626.07/x
  3. Step 3: Cross multiply
    6,459.09x = 8,913 × 3,626.07
  4. Step 4: Simplify right side
    6,459.09x = 32,319,161.91
  5. Step 5: Solve for x
    x = 32,319,161.91/6,459.09
  6. Step 6: Final answer
    x = 5,003.67

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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.