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Finding the Fourth Proportional to 9,809.85, 13,530.74 and 6,451.59

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Solution

The fourth proportional to 9,809.85, 13,530.74 and 6,451.59 is: 8,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.85 : 13,530.74 = 6,451.59 : x
  2. Step 2: Convert to fraction form
    9,809.85/13,530.74 = 6,451.59/x
  3. Step 3: Cross multiply
    9,809.85x = 13,530.74 × 6,451.59
  4. Step 4: Simplify right side
    9,809.85x = 87,294,729.25
  5. Step 5: Solve for x
    x = 87,294,729.25/9,809.85
  6. Step 6: Final answer
    x = 8,898.68

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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.